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Finding the Third Proportional to 24.14 and 49.69

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Solution

The third proportional to 24.14 and 49.69 is: 102.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.14 : 49.69 = 49.69 : x
  2. Step 2: Convert to fraction form
    24.14/49.69 = 49.69/x
  3. Step 3: Cross multiply
    24.14x = 49.69 × 49.69
  4. Step 4: Simplify right side
    24.14x = 2,468.85
  5. Step 5: Solve for x
    x = 2,468.85/24.14
  6. Step 6: Final answer
    x = 102.27

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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.