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Finding the Third Proportional to 33,734.25 and 49,305.38

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Solution

The third proportional to 33,734.25 and 49,305.38 is: 72,063.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,734.25 : 49,305.38 = 49,305.38 : x
  2. Step 2: Convert to fraction form
    33,734.25/49,305.38 = 49,305.38/x
  3. Step 3: Cross multiply
    33,734.25x = 49,305.38 × 49,305.38
  4. Step 4: Simplify right side
    33,734.25x = 2,431,020,003.89
  5. Step 5: Solve for x
    x = 2,431,020,003.89/33,734.25
  6. Step 6: Final answer
    x = 72,063.85

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.