
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
Given this year's National Day holiday, the number of visitors on the first day was 12,000, and on the third day it was 25,000. Assuming that the percentage increase in visitors is the same each day and denoted as $x$, find the equation modeling the relationship between the percentage increase and the number of visitors on the third day.

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