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Finding the Third Proportional to 20,422 and 32,766

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Solution

The third proportional to 20,422 and 32,766 is: 52,571.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,422 : 32,766 = 32,766 : x
  2. Step 2: Convert to fraction form
    20,422/32,766 = 32,766/x
  3. Step 3: Cross multiply
    20,422x = 32,766 × 32,766
  4. Step 4: Simplify right side
    20,422x = 1,073,610,756
  5. Step 5: Solve for x
    x = 1,073,610,756/20,422
  6. Step 6: Final answer
    x = 52,571.28

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.