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Finding the Third Proportional to 12.41 and 19.52

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Solution

The third proportional to 12.41 and 19.52 is: 30.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.41 : 19.52 = 19.52 : x
  2. Step 2: Convert to fraction form
    12.41/19.52 = 19.52/x
  3. Step 3: Cross multiply
    12.41x = 19.52 × 19.52
  4. Step 4: Simplify right side
    12.41x = 381.21
  5. Step 5: Solve for x
    x = 381.21/12.41
  6. Step 6: Final answer
    x = 30.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.