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Finding the Third Proportional to 7,651 and 8,767

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Solution

The third proportional to 7,651 and 8,767 is: 10,045.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,651 : 8,767 = 8,767 : x
  2. Step 2: Convert to fraction form
    7,651/8,767 = 8,767/x
  3. Step 3: Cross multiply
    7,651x = 8,767 × 8,767
  4. Step 4: Simplify right side
    7,651x = 76,860,289
  5. Step 5: Solve for x
    x = 76,860,289/7,651
  6. Step 6: Final answer
    x = 10,045.78

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.