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Finding the Third Proportional to 50,384.25 and 76,578.75

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Solution

The third proportional to 50,384.25 and 76,578.75 is: 116,391.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,384.25 : 76,578.75 = 76,578.75 : x
  2. Step 2: Convert to fraction form
    50,384.25/76,578.75 = 76,578.75/x
  3. Step 3: Cross multiply
    50,384.25x = 76,578.75 × 76,578.75
  4. Step 4: Simplify right side
    50,384.25x = 5,864,304,951.56
  5. Step 5: Solve for x
    x = 5,864,304,951.56/50,384.25
  6. Step 6: Final answer
    x = 116,391.63

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.