
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
An earthquake in a certain place has touched the hearts of people across the country. A unit has launched a disaster relief donation activity with the slogan "When one place is in trouble, help comes from all directions." On the first day, they received a donation of $10,000, and on the third day, they received a donation of $12,100.  
$(1)$ If the donation growth rates on the second and third days are the same, what is the donation growth rate?  
$(2)$ Based on the constant donation growth rate calculated in $(1)$, how much donation can the unit receive in total over three days?

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