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Finding the Third Proportional to 33,896.25 and 74,040.75

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Solution

The third proportional to 33,896.25 and 74,040.75 is: 161,729.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,896.25 : 74,040.75 = 74,040.75 : x
  2. Step 2: Convert to fraction form
    33,896.25/74,040.75 = 74,040.75/x
  3. Step 3: Cross multiply
    33,896.25x = 74,040.75 × 74,040.75
  4. Step 4: Simplify right side
    33,896.25x = 5,482,032,660.56
  5. Step 5: Solve for x
    x = 5,482,032,660.56/33,896.25
  6. Step 6: Final answer
    x = 161,729.77

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Why These Related Problems?

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