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Exhibit 31 CERTIFICATIONS I, Patrick L. Beach, certify that: 1. I have reviewed this annual report on Form 10-KSB of Captec Franchise Capital Partners L.P. III; 2. Based on my knowledge, this report does not contain any untrue statement of a material fact or omit to state a material fact necessary to make the statements made, in light of the circumstances under which such statements were made, not misleading with respect to the period covered by this report; 3. Based on my knowledge, the financial statements, and other financial information included in this report, fairly present in all material respects the financial condition, results of operations and cash flows of the small business issuer as of, and for, the periods presented in this report; 4. The small business issuers other certifying officers and I are responsible for establishing and maintaining disclosure controls and procedures (as defined in Exchange Act Rules 13a-15(e) and 15d-15(e)) and internal control over financial reporting (as defined in Exchange Act Rules 13(a)-15(f) and 15d-15(f)) for the small business issuer, and have: (a) Designed such disclosure controls and procedures, or caused such disclosure controls and procedures to be designed under our supervision, to ensure that material information relating to the small business issuer, including its consolidated subsidiaries, is made known to us by others within those entities, particularly during the period in which this report is being prepared; (b) Designed such internal control over financial reporting, or caused such internal control over financial reporting to be designed under our supervision, to provide reasonable assurance regarding the reliability of financial reporting and the preparation of financial statements for external purposes in accordance with generally accepted accounting principles; (c) Evaluated the effectiveness of the small business issuers disclosure controls and procedures and presented in this report our conclusions about the effectiveness of the disclosure controls and procedures, as of the end of the period covered by this report based on such evaluation; and (d) Disclosed in this report any change in the small business issuers internal control over financial reporting that occurred during the small business issuers most recent fiscal quarter that has materially affected, or is reasonably likely to materially affect, the small business issuers internal control over financial reporting; and 5. The small business issuers other certifying officers and I have disclosed, based on our most recent evaluation of internal control over financial reporting, to the small business issuers auditors and the audit committee of the small business issuers board of directors (or persons performing the equivalent functions): (a) All significant deficiencies and material weaknesses in the design or operation of internal control over financial reporting which are reasonably likely to adversely affect the small business issuers ability to record, process, summarize and report financial information; and (b) Any fraud, whether or not material, that involves management or other employees who have a significant role in the small business issuers internal control over financial reporting. Date: March 31,
2005 By: /s/ Patrick L. Beach
       Patrick L. Beach
       President, GP3 Asset Acquisition, LLC The foregoing certification is as required by Section 302(a) of the Sarbanes-Oxley Act of 2002 and amended Rules 13a-14 and 15d-14 of the Securities Exchange Act of 1934, which require that the wording of such certification must appear exactly as set forth by the Rules. GP3 Asset Acquisition, LLC is a single member limited liability company, the sole member of which is a limited liability company of which Patrick L. Beach is the sole and managing member. As a result, neither the Partnership or GP3 Asset Acquisition,
LLC has a board of directors or audit committee and Patrick L. Beach is the only certifying officer and is ultimately responsible for establishing and maintaining the small business issuers disclosure controls.