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Finding the Third Proportional to 24.97 and 50.69

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Solution

The third proportional to 24.97 and 50.69 is: 102.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.97 : 50.69 = 50.69 : x
  2. Step 2: Convert to fraction form
    24.97/50.69 = 50.69/x
  3. Step 3: Cross multiply
    24.97x = 50.69 × 50.69
  4. Step 4: Simplify right side
    24.97x = 2,569.22
  5. Step 5: Solve for x
    x = 2,569.22/24.97
  6. Step 6: Final answer
    x = 102.90

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.