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Finding the Third Proportional to 9,247.50 and 18,839.25

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Solution

The third proportional to 9,247.50 and 18,839.25 is: 38,379.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,247.50 : 18,839.25 = 18,839.25 : x
  2. Step 2: Convert to fraction form
    9,247.50/18,839.25 = 18,839.25/x
  3. Step 3: Cross multiply
    9,247.50x = 18,839.25 × 18,839.25
  4. Step 4: Simplify right side
    9,247.50x = 354,917,340.56
  5. Step 5: Solve for x
    x = 354,917,340.56/9,247.50
  6. Step 6: Final answer
    x = 38,379.82

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.