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Finding the Third Proportional to 33,429.42 and 73,419.84

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Solution

The third proportional to 33,429.42 and 73,419.84 is: 161,249.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,429.42 : 73,419.84 = 73,419.84 : x
  2. Step 2: Convert to fraction form
    33,429.42/73,419.84 = 73,419.84/x
  3. Step 3: Cross multiply
    33,429.42x = 73,419.84 × 73,419.84
  4. Step 4: Simplify right side
    33,429.42x = 5,390,473,456.27
  5. Step 5: Solve for x
    x = 5,390,473,456.27/33,429.42
  6. Step 6: Final answer
    x = 161,249.38

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.