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Finding the Third Proportional to 33,903.56 and 73,451.81

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Solution

The third proportional to 33,903.56 and 73,451.81 is: 159,132.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,903.56 : 73,451.81 = 73,451.81 : x
  2. Step 2: Convert to fraction form
    33,903.56/73,451.81 = 73,451.81/x
  3. Step 3: Cross multiply
    33,903.56x = 73,451.81 × 73,451.81
  4. Step 4: Simplify right side
    33,903.56x = 5,395,168,759.54
  5. Step 5: Solve for x
    x = 5,395,168,759.54/33,903.56
  6. Step 6: Final answer
    x = 159,132.80

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.