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Finding the Third Proportional to 33,939.50 and 74,570.50

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Solution

The third proportional to 33,939.50 and 74,570.50 is: 163,843.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,939.50 : 74,570.50 = 74,570.50 : x
  2. Step 2: Convert to fraction form
    33,939.50/74,570.50 = 74,570.50/x
  3. Step 3: Cross multiply
    33,939.50x = 74,570.50 × 74,570.50
  4. Step 4: Simplify right side
    33,939.50x = 5,560,759,470.25
  5. Step 5: Solve for x
    x = 5,560,759,470.25/33,939.50
  6. Step 6: Final answer
    x = 163,843.29

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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.