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Finding the Third Proportional to 33,537.38 and 71,067.38

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Solution

The third proportional to 33,537.38 and 71,067.38 is: 150,595.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,537.38 : 71,067.38 = 71,067.38 : x
  2. Step 2: Convert to fraction form
    33,537.38/71,067.38 = 71,067.38/x
  3. Step 3: Cross multiply
    33,537.38x = 71,067.38 × 71,067.38
  4. Step 4: Simplify right side
    33,537.38x = 5,050,571,789.39
  5. Step 5: Solve for x
    x = 5,050,571,789.39/33,537.38
  6. Step 6: Final answer
    x = 150,595.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.