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Finding the Third Proportional to 7,793.25 and 17,046.75

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Solution

The third proportional to 7,793.25 and 17,046.75 is: 37,287.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,793.25 : 17,046.75 = 17,046.75 : x
  2. Step 2: Convert to fraction form
    7,793.25/17,046.75 = 17,046.75/x
  3. Step 3: Cross multiply
    7,793.25x = 17,046.75 × 17,046.75
  4. Step 4: Simplify right side
    7,793.25x = 290,591,685.56
  5. Step 5: Solve for x
    x = 290,591,685.56/7,793.25
  6. Step 6: Final answer
    x = 37,287.61

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.