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Finding the Third Proportional to 8,972 and 9,782

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Solution

The third proportional to 8,972 and 9,782 is: 10,665.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972 : 9,782 = 9,782 : x
  2. Step 2: Convert to fraction form
    8,972/9,782 = 9,782/x
  3. Step 3: Cross multiply
    8,972x = 9,782 × 9,782
  4. Step 4: Simplify right side
    8,972x = 95,687,524
  5. Step 5: Solve for x
    x = 95,687,524/8,972
  6. Step 6: Final answer
    x = 10,665.13

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.