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Finding the Third Proportional to 33,428.25 and 51,591.38

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Solution

The third proportional to 33,428.25 and 51,591.38 is: 79,623.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,428.25 : 51,591.38 = 51,591.38 : x
  2. Step 2: Convert to fraction form
    33,428.25/51,591.38 = 51,591.38/x
  3. Step 3: Cross multiply
    33,428.25x = 51,591.38 × 51,591.38
  4. Step 4: Simplify right side
    33,428.25x = 2,661,669,974.39
  5. Step 5: Solve for x
    x = 2,661,669,974.39/33,428.25
  6. Step 6: Final answer
    x = 79,623.37

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.