
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
A certain farm planted pumpkins on $10$ acres last year, with a total yield of $20000$ kilograms. This year, the farm expanded its planting area and introduced a new variety, resulting in a total yield of $60000$ kilograms. It is known that the growth rate of the planting area is twice the growth rate of the average yield per acre. Find the growth rate of the average yield per acre.

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