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Finding the Third Proportional to 24.38 and 52.69

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Solution

The third proportional to 24.38 and 52.69 is: 113.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.38 : 52.69 = 52.69 : x
  2. Step 2: Convert to fraction form
    24.38/52.69 = 52.69/x
  3. Step 3: Cross multiply
    24.38x = 52.69 × 52.69
  4. Step 4: Simplify right side
    24.38x = 2,775.97
  5. Step 5: Solve for x
    x = 2,775.97/24.38
  6. Step 6: Final answer
    x = 113.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.