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Finding the Third Proportional to 3,993.19 and 6,251.34

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Solution

The third proportional to 3,993.19 and 6,251.34 is: 9,786.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.19 : 6,251.34 = 6,251.34 : x
  2. Step 2: Convert to fraction form
    3,993.19/6,251.34 = 6,251.34/x
  3. Step 3: Cross multiply
    3,993.19x = 6,251.34 × 6,251.34
  4. Step 4: Simplify right side
    3,993.19x = 39,079,298.68
  5. Step 5: Solve for x
    x = 39,079,298.68/3,993.19
  6. Step 6: Final answer
    x = 9,786.49

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Why These Related Problems?

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