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Finding the Third Proportional to 24,937 and 38,327

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Solution

The third proportional to 24,937 and 38,327 is: 58,906.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,937 : 38,327 = 38,327 : x
  2. Step 2: Convert to fraction form
    24,937/38,327 = 38,327/x
  3. Step 3: Cross multiply
    24,937x = 38,327 × 38,327
  4. Step 4: Simplify right side
    24,937x = 1,468,958,929
  5. Step 5: Solve for x
    x = 1,468,958,929/24,937
  6. Step 6: Final answer
    x = 58,906.80

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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.