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Finding the Third Proportional to 6,766.31 and 9,217.69

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Solution

The third proportional to 6,766.31 and 9,217.69 is: 12,557.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766.31 : 9,217.69 = 9,217.69 : x
  2. Step 2: Convert to fraction form
    6,766.31/9,217.69 = 9,217.69/x
  3. Step 3: Cross multiply
    6,766.31x = 9,217.69 × 9,217.69
  4. Step 4: Simplify right side
    6,766.31x = 84,965,762.85
  5. Step 5: Solve for x
    x = 84,965,762.85/6,766.31
  6. Step 6: Final answer
    x = 12,557.17

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.