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Finding the Third Proportional to 24,860 and 36,561

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Solution

The third proportional to 24,860 and 36,561 is: 53,769.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,860 : 36,561 = 36,561 : x
  2. Step 2: Convert to fraction form
    24,860/36,561 = 36,561/x
  3. Step 3: Cross multiply
    24,860x = 36,561 × 36,561
  4. Step 4: Simplify right side
    24,860x = 1,336,706,721
  5. Step 5: Solve for x
    x = 1,336,706,721/24,860
  6. Step 6: Final answer
    x = 53,769.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.