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Finding the Third Proportional to 3,589.88 and 5,442.75

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Solution

The third proportional to 3,589.88 and 5,442.75 is: 8,251.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.88 : 5,442.75 = 5,442.75 : x
  2. Step 2: Convert to fraction form
    3,589.88/5,442.75 = 5,442.75/x
  3. Step 3: Cross multiply
    3,589.88x = 5,442.75 × 5,442.75
  4. Step 4: Simplify right side
    3,589.88x = 29,623,527.56
  5. Step 5: Solve for x
    x = 29,623,527.56/3,589.88
  6. Step 6: Final answer
    x = 8,251.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.