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Finding the Third Proportional to 20,102 and 40,744

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Solution

The third proportional to 20,102 and 40,744 is: 82,582.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102 : 40,744 = 40,744 : x
  2. Step 2: Convert to fraction form
    20,102/40,744 = 40,744/x
  3. Step 3: Cross multiply
    20,102x = 40,744 × 40,744
  4. Step 4: Simplify right side
    20,102x = 1,660,073,536
  5. Step 5: Solve for x
    x = 1,660,073,536/20,102
  6. Step 6: Final answer
    x = 82,582.51

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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.