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Finding the Third Proportional to 20,542 and 29,100

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Solution

The third proportional to 20,542 and 29,100 is: 41,223.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,542 : 29,100 = 29,100 : x
  2. Step 2: Convert to fraction form
    20,542/29,100 = 29,100/x
  3. Step 3: Cross multiply
    20,542x = 29,100 × 29,100
  4. Step 4: Simplify right side
    20,542x = 846,810,000
  5. Step 5: Solve for x
    x = 846,810,000/20,542
  6. Step 6: Final answer
    x = 41,223.35

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.