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Finding the Third Proportional to 49.97 and 77.36

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Solution

The third proportional to 49.97 and 77.36 is: 119.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.97 : 77.36 = 77.36 : x
  2. Step 2: Convert to fraction form
    49.97/77.36 = 77.36/x
  3. Step 3: Cross multiply
    49.97x = 77.36 × 77.36
  4. Step 4: Simplify right side
    49.97x = 5,984.78
  5. Step 5: Solve for x
    x = 5,984.78/49.97
  6. Step 6: Final answer
    x = 119.78

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.