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Finding the Third Proportional to 8,067.94 and 11,836.97

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Solution

The third proportional to 8,067.94 and 11,836.97 is: 17,366.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,067.94 : 11,836.97 = 11,836.97 : x
  2. Step 2: Convert to fraction form
    8,067.94/11,836.97 = 11,836.97/x
  3. Step 3: Cross multiply
    8,067.94x = 11,836.97 × 11,836.97
  4. Step 4: Simplify right side
    8,067.94x = 140,113,829.19
  5. Step 5: Solve for x
    x = 140,113,829.19/8,067.94
  6. Step 6: Final answer
    x = 17,366.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.