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Finding the Third Proportional to 27,192 and 38,493

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Solution

The third proportional to 27,192 and 38,493 is: 54,490.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,192 : 38,493 = 38,493 : x
  2. Step 2: Convert to fraction form
    27,192/38,493 = 38,493/x
  3. Step 3: Cross multiply
    27,192x = 38,493 × 38,493
  4. Step 4: Simplify right side
    27,192x = 1,481,711,049
  5. Step 5: Solve for x
    x = 1,481,711,049/27,192
  6. Step 6: Final answer
    x = 54,490.70

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.