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Finding the Third Proportional to 33,458.06 and 71,631.84

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Solution

The third proportional to 33,458.06 and 71,631.84 is: 153,359.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,458.06 : 71,631.84 = 71,631.84 : x
  2. Step 2: Convert to fraction form
    33,458.06/71,631.84 = 71,631.84/x
  3. Step 3: Cross multiply
    33,458.06x = 71,631.84 × 71,631.84
  4. Step 4: Simplify right side
    33,458.06x = 5,131,121,039.02
  5. Step 5: Solve for x
    x = 5,131,121,039.02/33,458.06
  6. Step 6: Final answer
    x = 153,359.78

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.