
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
(Preferred Method Selection Problem) To prepare a certain injectable drug, the amount of glucose to be added per bottle needs to be between 10mL and 110mL. When using the golden section search method to find the optimal amount to add, if the first test point $x_1$ is a poor point, the second test point $x_2$ is a good point, and $x_1 > x_2$, then the amount of glucose to be added in the third experiment is.

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