
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 a point $M$ in the first quadrant on the hyperbolic function $y=\frac{5}{x}$, draw $M A \perp$ to the x-axis at point $A$, and $M B \perp$ to the y-axis at point $B$. If $M A$ and $M B$ intersect the hyperbolic function $y=\frac{3}{x}$ at points $C$ and $D$ respectively, find the ratio $CD: AB$.

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