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Finding the Third Proportional to 33,987.94 and 68,640.75

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Solution

The third proportional to 33,987.94 and 68,640.75 is: 138,624.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,987.94 : 68,640.75 = 68,640.75 : x
  2. Step 2: Convert to fraction form
    33,987.94/68,640.75 = 68,640.75/x
  3. Step 3: Cross multiply
    33,987.94x = 68,640.75 × 68,640.75
  4. Step 4: Simplify right side
    33,987.94x = 4,711,552,560.56
  5. Step 5: Solve for x
    x = 4,711,552,560.56/33,987.94
  6. Step 6: Final answer
    x = 138,624.26

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These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.