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Finding the Third Proportional to 18,112 and 38,204

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Solution

The third proportional to 18,112 and 38,204 is: 80,584.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,112 : 38,204 = 38,204 : x
  2. Step 2: Convert to fraction form
    18,112/38,204 = 38,204/x
  3. Step 3: Cross multiply
    18,112x = 38,204 × 38,204
  4. Step 4: Simplify right side
    18,112x = 1,459,545,616
  5. Step 5: Solve for x
    x = 1,459,545,616/18,112
  6. Step 6: Final answer
    x = 80,584.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.