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Finding the Third Proportional to 33,067.69 and 71,362.69

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Solution

The third proportional to 33,067.69 and 71,362.69 is: 154,006.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,067.69 : 71,362.69 = 71,362.69 : x
  2. Step 2: Convert to fraction form
    33,067.69/71,362.69 = 71,362.69/x
  3. Step 3: Cross multiply
    33,067.69x = 71,362.69 × 71,362.69
  4. Step 4: Simplify right side
    33,067.69x = 5,092,633,167.22
  5. Step 5: Solve for x
    x = 5,092,633,167.22/33,067.69
  6. Step 6: Final answer
    x = 154,006.33

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.