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Finding the Third Proportional to 24,327 and 37,565

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Solution

The third proportional to 24,327 and 37,565 is: 58,006.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,327 : 37,565 = 37,565 : x
  2. Step 2: Convert to fraction form
    24,327/37,565 = 37,565/x
  3. Step 3: Cross multiply
    24,327x = 37,565 × 37,565
  4. Step 4: Simplify right side
    24,327x = 1,411,129,225
  5. Step 5: Solve for x
    x = 1,411,129,225/24,327
  6. Step 6: Final answer
    x = 58,006.71

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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.