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Finding the Third Proportional to 5,674 and 12,067

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Solution

The third proportional to 5,674 and 12,067 is: 25,663.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674 : 12,067 = 12,067 : x
  2. Step 2: Convert to fraction form
    5,674/12,067 = 12,067/x
  3. Step 3: Cross multiply
    5,674x = 12,067 × 12,067
  4. Step 4: Simplify right side
    5,674x = 145,612,489
  5. Step 5: Solve for x
    x = 145,612,489/5,674
  6. Step 6: Final answer
    x = 25,663.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.