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Finding the Third Proportional to 13.78 and 30.38

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Solution

The third proportional to 13.78 and 30.38 is: 66.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.78 : 30.38 = 30.38 : x
  2. Step 2: Convert to fraction form
    13.78/30.38 = 30.38/x
  3. Step 3: Cross multiply
    13.78x = 30.38 × 30.38
  4. Step 4: Simplify right side
    13.78x = 922.64
  5. Step 5: Solve for x
    x = 922.64/13.78
  6. Step 6: Final answer
    x = 66.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.