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Finding the Third Proportional to 33,982.03 and 73,431.56

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Solution

The third proportional to 33,982.03 and 73,431.56 is: 158,677.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,982.03 : 73,431.56 = 73,431.56 : x
  2. Step 2: Convert to fraction form
    33,982.03/73,431.56 = 73,431.56/x
  3. Step 3: Cross multiply
    33,982.03x = 73,431.56 × 73,431.56
  4. Step 4: Simplify right side
    33,982.03x = 5,392,194,371.19
  5. Step 5: Solve for x
    x = 5,392,194,371.19/33,982.03
  6. Step 6: Final answer
    x = 158,677.81

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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.