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Finding the Third Proportional to 33,625.13 and 73,469.53

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Solution

The third proportional to 33,625.13 and 73,469.53 is: 160,527.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,625.13 : 73,469.53 = 73,469.53 : x
  2. Step 2: Convert to fraction form
    33,625.13/73,469.53 = 73,469.53/x
  3. Step 3: Cross multiply
    33,625.13x = 73,469.53 × 73,469.53
  4. Step 4: Simplify right side
    33,625.13x = 5,397,772,022.09
  5. Step 5: Solve for x
    x = 5,397,772,022.09/33,625.13
  6. Step 6: Final answer
    x = 160,527.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.