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Finding the Third Proportional to 33,012.75 and 71,158.75

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Solution

The third proportional to 33,012.75 and 71,158.75 is: 153,382.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,012.75 : 71,158.75 = 71,158.75 : x
  2. Step 2: Convert to fraction form
    33,012.75/71,158.75 = 71,158.75/x
  3. Step 3: Cross multiply
    33,012.75x = 71,158.75 × 71,158.75
  4. Step 4: Simplify right side
    33,012.75x = 5,063,567,701.56
  5. Step 5: Solve for x
    x = 5,063,567,701.56/33,012.75
  6. Step 6: Final answer
    x = 153,382.18

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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.