A list of five positive integers has a median of 3 and a mean of 11. What is the maximum possible value of the list's largest element?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
A list of five positive integers has a median of 3 and a mean of 11. What is the maximum possible value of the list's largest element?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
47
A list of five positive integers has a median of 3 and a mean of 11. What is the maximum possible value of the list's largest element?
train