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Finding the Third Proportional to 20,112 and 40,762

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Solution

The third proportional to 20,112 and 40,762 is: 82,614.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,112 : 40,762 = 40,762 : x
  2. Step 2: Convert to fraction form
    20,112/40,762 = 40,762/x
  3. Step 3: Cross multiply
    20,112x = 40,762 × 40,762
  4. Step 4: Simplify right side
    20,112x = 1,661,540,644
  5. Step 5: Solve for x
    x = 1,661,540,644/20,112
  6. Step 6: Final answer
    x = 82,614.39

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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.