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Finding the Third Proportional to 8,591 and 13,067

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Solution

The third proportional to 8,591 and 13,067 is: 19,875.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,591 : 13,067 = 13,067 : x
  2. Step 2: Convert to fraction form
    8,591/13,067 = 13,067/x
  3. Step 3: Cross multiply
    8,591x = 13,067 × 13,067
  4. Step 4: Simplify right side
    8,591x = 170,746,489
  5. Step 5: Solve for x
    x = 170,746,489/8,591
  6. Step 6: Final answer
    x = 19,875.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.