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Finding the Third Proportional to 33,211.63 and 71,850.25

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Solution

The third proportional to 33,211.63 and 71,850.25 is: 155,441.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,211.63 : 71,850.25 = 71,850.25 : x
  2. Step 2: Convert to fraction form
    33,211.63/71,850.25 = 71,850.25/x
  3. Step 3: Cross multiply
    33,211.63x = 71,850.25 × 71,850.25
  4. Step 4: Simplify right side
    33,211.63x = 5,162,458,425.06
  5. Step 5: Solve for x
    x = 5,162,458,425.06/33,211.63
  6. Step 6: Final answer
    x = 155,441.31

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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.