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Finding the Third Proportional to 33,743.25 and 73,841.81

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Solution

The third proportional to 33,743.25 and 73,841.81 is: 161,591.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,743.25 : 73,841.81 = 73,841.81 : x
  2. Step 2: Convert to fraction form
    33,743.25/73,841.81 = 73,841.81/x
  3. Step 3: Cross multiply
    33,743.25x = 73,841.81 × 73,841.81
  4. Step 4: Simplify right side
    33,743.25x = 5,452,613,273.29
  5. Step 5: Solve for x
    x = 5,452,613,273.29/33,743.25
  6. Step 6: Final answer
    x = 161,591.23

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.