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Finding the Third Proportional to 49.75 and 76.84

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Solution

The third proportional to 49.75 and 76.84 is: 118.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.75 : 76.84 = 76.84 : x
  2. Step 2: Convert to fraction form
    49.75/76.84 = 76.84/x
  3. Step 3: Cross multiply
    49.75x = 76.84 × 76.84
  4. Step 4: Simplify right side
    49.75x = 5,904.96
  5. Step 5: Solve for x
    x = 5,904.96/49.75
  6. Step 6: Final answer
    x = 118.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.