The words "enchant" and "captivate" are synonyms. The task is to find a word synonymous with "urge."
Step 1: Option Analysis.
- (A) "Confuse" is not a synonym of "urge."
- (B) "Avert" (to prevent/avoid) is not a synonym of "urge."
- (C) "Disagree" is not a synonym of "urge."
- (D) "Enforce" (to compel obedience) is not synonymous with "urge."
- (E) "Encourage" is a synonym of "urge" (both prompt action).
Step 2: Conclusion.
The correct analogy is \( \boxed{(E)} \): "urge" is to "encourage" as "enchant" is to "captivate."