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Finding the Third Proportional to 20,532 and 47,902

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Solution

The third proportional to 20,532 and 47,902 is: 111,757.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,532 : 47,902 = 47,902 : x
  2. Step 2: Convert to fraction form
    20,532/47,902 = 47,902/x
  3. Step 3: Cross multiply
    20,532x = 47,902 × 47,902
  4. Step 4: Simplify right side
    20,532x = 2,294,601,604
  5. Step 5: Solve for x
    x = 2,294,601,604/20,532
  6. Step 6: Final answer
    x = 111,757.34

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.