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Finding the Third Proportional to 20,098 and 40,743

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Solution

The third proportional to 20,098 and 40,743 is: 82,594.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098 : 40,743 = 40,743 : x
  2. Step 2: Convert to fraction form
    20,098/40,743 = 40,743/x
  3. Step 3: Cross multiply
    20,098x = 40,743 × 40,743
  4. Step 4: Simplify right side
    20,098x = 1,659,992,049
  5. Step 5: Solve for x
    x = 1,659,992,049/20,098
  6. Step 6: Final answer
    x = 82,594.89

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.