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Finding the Third Proportional to 12.38 and 27.14

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Solution

The third proportional to 12.38 and 27.14 is: 59.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.38 : 27.14 = 27.14 : x
  2. Step 2: Convert to fraction form
    12.38/27.14 = 27.14/x
  3. Step 3: Cross multiply
    12.38x = 27.14 × 27.14
  4. Step 4: Simplify right side
    12.38x = 736.61
  5. Step 5: Solve for x
    x = 736.61/12.38
  6. Step 6: Final answer
    x = 59.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.