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Finding the Third Proportional to 12.67 and 17.49

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Solution

The third proportional to 12.67 and 17.49 is: 24.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.67 : 17.49 = 17.49 : x
  2. Step 2: Convert to fraction form
    12.67/17.49 = 17.49/x
  3. Step 3: Cross multiply
    12.67x = 17.49 × 17.49
  4. Step 4: Simplify right side
    12.67x = 305.74
  5. Step 5: Solve for x
    x = 305.74/12.67
  6. Step 6: Final answer
    x = 24.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.