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Finding the Third Proportional to 5,752.27 and 9,175.15

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Solution

The third proportional to 5,752.27 and 9,175.15 is: 14,634.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.27 : 9,175.15 = 9,175.15 : x
  2. Step 2: Convert to fraction form
    5,752.27/9,175.15 = 9,175.15/x
  3. Step 3: Cross multiply
    5,752.27x = 9,175.15 × 9,175.15
  4. Step 4: Simplify right side
    5,752.27x = 84,183,348.85
  5. Step 5: Solve for x
    x = 84,183,348.85/5,752.27
  6. Step 6: Final answer
    x = 14,634.82

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.