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Finding the Third Proportional to 33,245.44 and 71,404.03

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Solution

The third proportional to 33,245.44 and 71,404.03 is: 153,360.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,245.44 : 71,404.03 = 71,404.03 : x
  2. Step 2: Convert to fraction form
    33,245.44/71,404.03 = 71,404.03/x
  3. Step 3: Cross multiply
    33,245.44x = 71,404.03 × 71,404.03
  4. Step 4: Simplify right side
    33,245.44x = 5,098,535,678.75
  5. Step 5: Solve for x
    x = 5,098,535,678.75/33,245.44
  6. Step 6: Final answer
    x = 153,360.46

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.