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Finding the Third Proportional to 18,016 and 38,524

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Solution

The third proportional to 18,016 and 38,524 is: 82,376.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,016 : 38,524 = 38,524 : x
  2. Step 2: Convert to fraction form
    18,016/38,524 = 38,524/x
  3. Step 3: Cross multiply
    18,016x = 38,524 × 38,524
  4. Step 4: Simplify right side
    18,016x = 1,484,098,576
  5. Step 5: Solve for x
    x = 1,484,098,576/18,016
  6. Step 6: Final answer
    x = 82,376.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.