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Finding the Third Proportional to 38,497 and 56,414

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Solution

The third proportional to 38,497 and 56,414 is: 82,669.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,497 : 56,414 = 56,414 : x
  2. Step 2: Convert to fraction form
    38,497/56,414 = 56,414/x
  3. Step 3: Cross multiply
    38,497x = 56,414 × 56,414
  4. Step 4: Simplify right side
    38,497x = 3,182,539,396
  5. Step 5: Solve for x
    x = 3,182,539,396/38,497
  6. Step 6: Final answer
    x = 82,669.80

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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.