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Finding the Third Proportional to 6,227.25 and 9,252.66

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Solution

The third proportional to 6,227.25 and 9,252.66 is: 13,747.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227.25 : 9,252.66 = 9,252.66 : x
  2. Step 2: Convert to fraction form
    6,227.25/9,252.66 = 9,252.66/x
  3. Step 3: Cross multiply
    6,227.25x = 9,252.66 × 9,252.66
  4. Step 4: Simplify right side
    6,227.25x = 85,611,647.68
  5. Step 5: Solve for x
    x = 85,611,647.68/6,227.25
  6. Step 6: Final answer
    x = 13,747.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.