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Finding the Third Proportional to 33,405.75 and 71,995.50

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Solution

The third proportional to 33,405.75 and 71,995.50 is: 155,163.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,405.75 : 71,995.50 = 71,995.50 : x
  2. Step 2: Convert to fraction form
    33,405.75/71,995.50 = 71,995.50/x
  3. Step 3: Cross multiply
    33,405.75x = 71,995.50 × 71,995.50
  4. Step 4: Simplify right side
    33,405.75x = 5,183,352,020.25
  5. Step 5: Solve for x
    x = 5,183,352,020.25/33,405.75
  6. Step 6: Final answer
    x = 155,163.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.