What is the average of all positive integers that have four digits when written in base $3$, but two digits when written in base $6$? Write your answer in base $10$.
Question:
What is the average of all positive integers that have four digits when written in base $3$, but two digits when written in base $6$? Write your answer in base $10$.
Answer:
Let's think step by step.

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What is the average of all positive integers that have four digits when written in base $3$, but two digits when written in base $6$? Write your answer in base $10$.
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