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Finding the Third Proportional to 5,497.24 and 8,517.66

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Solution

The third proportional to 5,497.24 and 8,517.66 is: 13,197.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.24 : 8,517.66 = 8,517.66 : x
  2. Step 2: Convert to fraction form
    5,497.24/8,517.66 = 8,517.66/x
  3. Step 3: Cross multiply
    5,497.24x = 8,517.66 × 8,517.66
  4. Step 4: Simplify right side
    5,497.24x = 72,550,467.99
  5. Step 5: Solve for x
    x = 72,550,467.99/5,497.24
  6. Step 6: Final answer
    x = 13,197.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.