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Finding the Third Proportional to 20,724 and 32,934

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Solution

The third proportional to 20,724 and 32,934 is: 52,337.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,724 : 32,934 = 32,934 : x
  2. Step 2: Convert to fraction form
    20,724/32,934 = 32,934/x
  3. Step 3: Cross multiply
    20,724x = 32,934 × 32,934
  4. Step 4: Simplify right side
    20,724x = 1,084,648,356
  5. Step 5: Solve for x
    x = 1,084,648,356/20,724
  6. Step 6: Final answer
    x = 52,337.79

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.