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Finding the Third Proportional to 8,691 and 9,579

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Solution

The third proportional to 8,691 and 9,579 is: 10,557.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,691 : 9,579 = 9,579 : x
  2. Step 2: Convert to fraction form
    8,691/9,579 = 9,579/x
  3. Step 3: Cross multiply
    8,691x = 9,579 × 9,579
  4. Step 4: Simplify right side
    8,691x = 91,757,241
  5. Step 5: Solve for x
    x = 91,757,241/8,691
  6. Step 6: Final answer
    x = 10,557.73

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.