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Finding the Third Proportional to 27,384 and 41,902

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Solution

The third proportional to 27,384 and 41,902 is: 64,116.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,384 : 41,902 = 41,902 : x
  2. Step 2: Convert to fraction form
    27,384/41,902 = 41,902/x
  3. Step 3: Cross multiply
    27,384x = 41,902 × 41,902
  4. Step 4: Simplify right side
    27,384x = 1,755,777,604
  5. Step 5: Solve for x
    x = 1,755,777,604/27,384
  6. Step 6: Final answer
    x = 64,116.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.