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Finding the Third Proportional to 3,863.81 and 6,067.69

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Solution

The third proportional to 3,863.81 and 6,067.69 is: 9,528.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.81 : 6,067.69 = 6,067.69 : x
  2. Step 2: Convert to fraction form
    3,863.81/6,067.69 = 6,067.69/x
  3. Step 3: Cross multiply
    3,863.81x = 6,067.69 × 6,067.69
  4. Step 4: Simplify right side
    3,863.81x = 36,816,831.60
  5. Step 5: Solve for x
    x = 36,816,831.60/3,863.81
  6. Step 6: Final answer
    x = 9,528.63

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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.