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Finding the Third Proportional to 8,531 and 9,767

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Solution

The third proportional to 8,531 and 9,767 is: 11,182.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,531 : 9,767 = 9,767 : x
  2. Step 2: Convert to fraction form
    8,531/9,767 = 9,767/x
  3. Step 3: Cross multiply
    8,531x = 9,767 × 9,767
  4. Step 4: Simplify right side
    8,531x = 95,394,289
  5. Step 5: Solve for x
    x = 95,394,289/8,531
  6. Step 6: Final answer
    x = 11,182.08

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.