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Finding the Third Proportional to 3,375.42 and 3,739.92

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Solution

The third proportional to 3,375.42 and 3,739.92 is: 4,143.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,375.42 : 3,739.92 = 3,739.92 : x
  2. Step 2: Convert to fraction form
    3,375.42/3,739.92 = 3,739.92/x
  3. Step 3: Cross multiply
    3,375.42x = 3,739.92 × 3,739.92
  4. Step 4: Simplify right side
    3,375.42x = 13,987,015.63
  5. Step 5: Solve for x
    x = 13,987,015.63/3,375.42
  6. Step 6: Final answer
    x = 4,143.78

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.