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Finding the Third Proportional to 3,993.38 and 6,251.63

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Solution

The third proportional to 3,993.38 and 6,251.63 is: 9,786.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.38 : 6,251.63 = 6,251.63 : x
  2. Step 2: Convert to fraction form
    3,993.38/6,251.63 = 6,251.63/x
  3. Step 3: Cross multiply
    3,993.38x = 6,251.63 × 6,251.63
  4. Step 4: Simplify right side
    3,993.38x = 39,082,815.14
  5. Step 5: Solve for x
    x = 39,082,815.14/3,993.38
  6. Step 6: Final answer
    x = 9,786.91

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.