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Finding the Third Proportional to 12.38 and 18.83

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Solution

The third proportional to 12.38 and 18.83 is: 28.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.38 : 18.83 = 18.83 : x
  2. Step 2: Convert to fraction form
    12.38/18.83 = 18.83/x
  3. Step 3: Cross multiply
    12.38x = 18.83 × 18.83
  4. Step 4: Simplify right side
    12.38x = 354.42
  5. Step 5: Solve for x
    x = 354.42/12.38
  6. Step 6: Final answer
    x = 28.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.