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Finding the Third Proportional to 17,861 and 38,413

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Solution

The third proportional to 17,861 and 38,413 is: 82,613.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,861 : 38,413 = 38,413 : x
  2. Step 2: Convert to fraction form
    17,861/38,413 = 38,413/x
  3. Step 3: Cross multiply
    17,861x = 38,413 × 38,413
  4. Step 4: Simplify right side
    17,861x = 1,475,558,569
  5. Step 5: Solve for x
    x = 1,475,558,569/17,861
  6. Step 6: Final answer
    x = 82,613.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.