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Finding the Third Proportional to 15,597.56 and 23,962.08

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Solution

The third proportional to 15,597.56 and 23,962.08 is: 36,812.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,597.56 : 23,962.08 = 23,962.08 : x
  2. Step 2: Convert to fraction form
    15,597.56/23,962.08 = 23,962.08/x
  3. Step 3: Cross multiply
    15,597.56x = 23,962.08 × 23,962.08
  4. Step 4: Simplify right side
    15,597.56x = 574,181,188.07
  5. Step 5: Solve for x
    x = 574,181,188.07/15,597.56
  6. Step 6: Final answer
    x = 36,812.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.