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Finding the Third Proportional to 20,132 and 28,327

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Solution

The third proportional to 20,132 and 28,327 is: 39,857.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,132 : 28,327 = 28,327 : x
  2. Step 2: Convert to fraction form
    20,132/28,327 = 28,327/x
  3. Step 3: Cross multiply
    20,132x = 28,327 × 28,327
  4. Step 4: Simplify right side
    20,132x = 802,418,929
  5. Step 5: Solve for x
    x = 802,418,929/20,132
  6. Step 6: Final answer
    x = 39,857.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.