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Finding the Third Proportional to 38,663 and 82,387

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Solution

The third proportional to 38,663 and 82,387 is: 175,558.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,663 : 82,387 = 82,387 : x
  2. Step 2: Convert to fraction form
    38,663/82,387 = 82,387/x
  3. Step 3: Cross multiply
    38,663x = 82,387 × 82,387
  4. Step 4: Simplify right side
    38,663x = 6,787,617,769
  5. Step 5: Solve for x
    x = 6,787,617,769/38,663
  6. Step 6: Final answer
    x = 175,558.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.