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Finding the Third Proportional to 20,874 and 32,327

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Solution

The third proportional to 20,874 and 32,327 is: 50,063.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,874 : 32,327 = 32,327 : x
  2. Step 2: Convert to fraction form
    20,874/32,327 = 32,327/x
  3. Step 3: Cross multiply
    20,874x = 32,327 × 32,327
  4. Step 4: Simplify right side
    20,874x = 1,045,034,929
  5. Step 5: Solve for x
    x = 1,045,034,929/20,874
  6. Step 6: Final answer
    x = 50,063.95

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.