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Finding the Third Proportional to 24,134 and 38,387

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Solution

The third proportional to 24,134 and 38,387 is: 61,057.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,134 : 38,387 = 38,387 : x
  2. Step 2: Convert to fraction form
    24,134/38,387 = 38,387/x
  3. Step 3: Cross multiply
    24,134x = 38,387 × 38,387
  4. Step 4: Simplify right side
    24,134x = 1,473,561,769
  5. Step 5: Solve for x
    x = 1,473,561,769/24,134
  6. Step 6: Final answer
    x = 61,057.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.