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Finding the Third Proportional to 33,891.75 and 73,387.50

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Solution

The third proportional to 33,891.75 and 73,387.50 is: 158,909.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,891.75 : 73,387.50 = 73,387.50 : x
  2. Step 2: Convert to fraction form
    33,891.75/73,387.50 = 73,387.50/x
  3. Step 3: Cross multiply
    33,891.75x = 73,387.50 × 73,387.50
  4. Step 4: Simplify right side
    33,891.75x = 5,385,725,156.25
  5. Step 5: Solve for x
    x = 5,385,725,156.25/33,891.75
  6. Step 6: Final answer
    x = 158,909.62

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.