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Finding the Third Proportional to 3,944.63 and 5,521.88

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Solution

The third proportional to 3,944.63 and 5,521.88 is: 7,729.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,944.63 : 5,521.88 = 5,521.88 : x
  2. Step 2: Convert to fraction form
    3,944.63/5,521.88 = 5,521.88/x
  3. Step 3: Cross multiply
    3,944.63x = 5,521.88 × 5,521.88
  4. Step 4: Simplify right side
    3,944.63x = 30,491,103.52
  5. Step 5: Solve for x
    x = 30,491,103.52/3,944.63
  6. Step 6: Final answer
    x = 7,729.79

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.