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Finding the Third Proportional to 20,962 and 32,720

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Solution

The third proportional to 20,962 and 32,720 is: 51,073.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,962 : 32,720 = 32,720 : x
  2. Step 2: Convert to fraction form
    20,962/32,720 = 32,720/x
  3. Step 3: Cross multiply
    20,962x = 32,720 × 32,720
  4. Step 4: Simplify right side
    20,962x = 1,070,598,400
  5. Step 5: Solve for x
    x = 1,070,598,400/20,962
  6. Step 6: Final answer
    x = 51,073.29

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.