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Finding the Third Proportional to 3,375.42 and 3,891.80

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Solution

The third proportional to 3,375.42 and 3,891.80 is: 4,487.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,375.42 : 3,891.80 = 3,891.80 : x
  2. Step 2: Convert to fraction form
    3,375.42/3,891.80 = 3,891.80/x
  3. Step 3: Cross multiply
    3,375.42x = 3,891.80 × 3,891.80
  4. Step 4: Simplify right side
    3,375.42x = 15,146,082.92
  5. Step 5: Solve for x
    x = 15,146,082.92/3,375.42
  6. Step 6: Final answer
    x = 4,487.17

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.