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Finding the Third Proportional to 18,098 and 38,932

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Solution

The third proportional to 18,098 and 38,932 is: 83,749.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,098 : 38,932 = 38,932 : x
  2. Step 2: Convert to fraction form
    18,098/38,932 = 38,932/x
  3. Step 3: Cross multiply
    18,098x = 38,932 × 38,932
  4. Step 4: Simplify right side
    18,098x = 1,515,700,624
  5. Step 5: Solve for x
    x = 1,515,700,624/18,098
  6. Step 6: Final answer
    x = 83,749.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.