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Finding the Third Proportional to 33,932.67 and 49,344.19

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Solution

The third proportional to 33,932.67 and 49,344.19 is: 71,755.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,932.67 : 49,344.19 = 49,344.19 : x
  2. Step 2: Convert to fraction form
    33,932.67/49,344.19 = 49,344.19/x
  3. Step 3: Cross multiply
    33,932.67x = 49,344.19 × 49,344.19
  4. Step 4: Simplify right side
    33,932.67x = 2,434,848,840.04
  5. Step 5: Solve for x
    x = 2,434,848,840.04/33,932.67
  6. Step 6: Final answer
    x = 71,755.29

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.