There is a related negative symbolism in consuming any milk with any meat - which is also forbidden by the Torah. Milk occupies a unique intermediate status. According to Jewish tradition, the milk is formed from the blood - the ultimate embodiment of bestiality. However, once it turns to milk, it is permissible without any further preparation. Just as the milkhas physically escaped from the beast's flesh and blood and collected separately in the udder, so has it escaped the stigma of bestiality.
Many people are vegetarians - they put milk in the same category as vegetables.
Nonetheless, the milk remains an animal food. After all, it must come from a permitted animal. This suggests that there is still a latent blood-like potential in the milk, which can be dangerously reawakened by bringing it back into contact with the meat. The parallel symbolism applies in the opposite direction. By slaughtering and salting the meat, we have worked hard to subdue the negative qualities meat signifies.