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Finding the Third Proportional to 8,021 and 12,067

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Solution

The third proportional to 8,021 and 12,067 is: 18,153.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021 : 12,067 = 12,067 : x
  2. Step 2: Convert to fraction form
    8,021/12,067 = 12,067/x
  3. Step 3: Cross multiply
    8,021x = 12,067 × 12,067
  4. Step 4: Simplify right side
    8,021x = 145,612,489
  5. Step 5: Solve for x
    x = 145,612,489/8,021
  6. Step 6: Final answer
    x = 18,153.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.