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Finding the Third Proportional to 18,067 and 38,102

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Solution

The third proportional to 18,067 and 38,102 is: 80,354.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,067 : 38,102 = 38,102 : x
  2. Step 2: Convert to fraction form
    18,067/38,102 = 38,102/x
  3. Step 3: Cross multiply
    18,067x = 38,102 × 38,102
  4. Step 4: Simplify right side
    18,067x = 1,451,762,404
  5. Step 5: Solve for x
    x = 1,451,762,404/18,067
  6. Step 6: Final answer
    x = 80,354.37

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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.