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Finding the Third Proportional to 33,378.75 and 67,996.13

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Solution

The third proportional to 33,378.75 and 67,996.13 is: 138,515.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,378.75 : 67,996.13 = 67,996.13 : x
  2. Step 2: Convert to fraction form
    33,378.75/67,996.13 = 67,996.13/x
  3. Step 3: Cross multiply
    33,378.75x = 67,996.13 × 67,996.13
  4. Step 4: Simplify right side
    33,378.75x = 4,623,473,015.02
  5. Step 5: Solve for x
    x = 4,623,473,015.02/33,378.75
  6. Step 6: Final answer
    x = 138,515.46

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.