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Finding the Third Proportional to 3,286.13 and 4,993.31

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Solution

The third proportional to 3,286.13 and 4,993.31 is: 7,587.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.13 : 4,993.31 = 4,993.31 : x
  2. Step 2: Convert to fraction form
    3,286.13/4,993.31 = 4,993.31/x
  3. Step 3: Cross multiply
    3,286.13x = 4,993.31 × 4,993.31
  4. Step 4: Simplify right side
    3,286.13x = 24,933,169.72
  5. Step 5: Solve for x
    x = 24,933,169.72/3,286.13
  6. Step 6: Final answer
    x = 7,587.41

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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.