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Finding the Third Proportional to 24.25 and 50.75

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Solution

The third proportional to 24.25 and 50.75 is: 106.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.25 : 50.75 = 50.75 : x
  2. Step 2: Convert to fraction form
    24.25/50.75 = 50.75/x
  3. Step 3: Cross multiply
    24.25x = 50.75 × 50.75
  4. Step 4: Simplify right side
    24.25x = 2,575.56
  5. Step 5: Solve for x
    x = 2,575.56/24.25
  6. Step 6: Final answer
    x = 106.21

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.