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Finding the Third Proportional to 3,591.88 and 5,711.88

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Solution

The third proportional to 3,591.88 and 5,711.88 is: 9,083.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,591.88 : 5,711.88 = 5,711.88 : x
  2. Step 2: Convert to fraction form
    3,591.88/5,711.88 = 5,711.88/x
  3. Step 3: Cross multiply
    3,591.88x = 5,711.88 × 5,711.88
  4. Step 4: Simplify right side
    3,591.88x = 32,625,516.02
  5. Step 5: Solve for x
    x = 32,625,516.02/3,591.88
  6. Step 6: Final answer
    x = 9,083.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.