thirst is to drink as eat is too
I think the analogy is wrong. thirst : drink is noun : verb
so the second should be hunger : eat, not eat : hunger
Thirst is a natural sensation that prompts us to drink liquids in order to satisfy our body's need for hydration. Similarly, eat is a verb that describes the action of consuming food in order to fulfill our body's nutritional requirements. In both cases, our bodies are signaling that we need something to sustain ourselves.
If you're looking for the term that completes the analogy, the word you're seeking is "eat," as you've already mentioned it in your question. However, if you're searching for a different analogy, involving another word that relates to the action of eating, let me know and I'll be happy to help you further!
hunger?
full?