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Finding the Third Proportional to 2,458.13 and 3,993.19

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Solution

The third proportional to 2,458.13 and 3,993.19 is: 6,486.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.13 : 3,993.19 = 3,993.19 : x
  2. Step 2: Convert to fraction form
    2,458.13/3,993.19 = 3,993.19/x
  3. Step 3: Cross multiply
    2,458.13x = 3,993.19 × 3,993.19
  4. Step 4: Simplify right side
    2,458.13x = 15,945,546.41
  5. Step 5: Solve for x
    x = 15,945,546.41/2,458.13
  6. Step 6: Final answer
    x = 6,486.87

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.