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Finding the Third Proportional to 20,713 and 22,327

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Solution

The third proportional to 20,713 and 22,327 is: 24,066.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,713 : 22,327 = 22,327 : x
  2. Step 2: Convert to fraction form
    20,713/22,327 = 22,327/x
  3. Step 3: Cross multiply
    20,713x = 22,327 × 22,327
  4. Step 4: Simplify right side
    20,713x = 498,494,929
  5. Step 5: Solve for x
    x = 498,494,929/20,713
  6. Step 6: Final answer
    x = 24,066.77

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.