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Finding the Third Proportional to 38,452 and 82,371

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Solution

The third proportional to 38,452 and 82,371 is: 176,453.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,452 : 82,371 = 82,371 : x
  2. Step 2: Convert to fraction form
    38,452/82,371 = 82,371/x
  3. Step 3: Cross multiply
    38,452x = 82,371 × 82,371
  4. Step 4: Simplify right side
    38,452x = 6,784,981,641
  5. Step 5: Solve for x
    x = 6,784,981,641/38,452
  6. Step 6: Final answer
    x = 176,453.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.