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Finding the Third Proportional to 24,304.50 and 34,674.75

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Solution

The third proportional to 24,304.50 and 34,674.75 is: 49,469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,304.50 : 34,674.75 = 34,674.75 : x
  2. Step 2: Convert to fraction form
    24,304.50/34,674.75 = 34,674.75/x
  3. Step 3: Cross multiply
    24,304.50x = 34,674.75 × 34,674.75
  4. Step 4: Simplify right side
    24,304.50x = 1,202,338,287.56
  5. Step 5: Solve for x
    x = 1,202,338,287.56/24,304.50
  6. Step 6: Final answer
    x = 49,469.78

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.