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Finding the Third Proportional to 7,677 and 8,493

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Solution

The third proportional to 7,677 and 8,493 is: 9,395.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677 : 8,493 = 8,493 : x
  2. Step 2: Convert to fraction form
    7,677/8,493 = 8,493/x
  3. Step 3: Cross multiply
    7,677x = 8,493 × 8,493
  4. Step 4: Simplify right side
    7,677x = 72,131,049
  5. Step 5: Solve for x
    x = 72,131,049/7,677
  6. Step 6: Final answer
    x = 9,395.73

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.