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Finding the Third Proportional to 24.75 and 50.91

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Solution

The third proportional to 24.75 and 50.91 is: 104.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.75 : 50.91 = 50.91 : x
  2. Step 2: Convert to fraction form
    24.75/50.91 = 50.91/x
  3. Step 3: Cross multiply
    24.75x = 50.91 × 50.91
  4. Step 4: Simplify right side
    24.75x = 2,591.45
  5. Step 5: Solve for x
    x = 2,591.45/24.75
  6. Step 6: Final answer
    x = 104.70

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.