
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Every time the season changes from autumn to winter, the sales of cold medicine will increase significantly, and the profit of the pharmacy will also increase. The profit of a certain pharmacy in September is $5000$ yuan, while the profit in November is $11250$ yuan. Find the average monthly growth rate of the profit of this pharmacy.

Present the answer in LaTex format: \boxed{Your answer}
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