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Finding the Third Proportional to 33,832.69 and 73,077.19

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Solution

The third proportional to 33,832.69 and 73,077.19 is: 157,843.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,832.69 : 73,077.19 = 73,077.19 : x
  2. Step 2: Convert to fraction form
    33,832.69/73,077.19 = 73,077.19/x
  3. Step 3: Cross multiply
    33,832.69x = 73,077.19 × 73,077.19
  4. Step 4: Simplify right side
    33,832.69x = 5,340,275,332.91
  5. Step 5: Solve for x
    x = 5,340,275,332.91/33,832.69
  6. Step 6: Final answer
    x = 157,843.66

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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.