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Finding the Third Proportional to 12.88 and 18.88

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Solution

The third proportional to 12.88 and 18.88 is: 27.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.88 : 18.88 = 18.88 : x
  2. Step 2: Convert to fraction form
    12.88/18.88 = 18.88/x
  3. Step 3: Cross multiply
    12.88x = 18.88 × 18.88
  4. Step 4: Simplify right side
    12.88x = 356.27
  5. Step 5: Solve for x
    x = 356.27/12.88
  6. Step 6: Final answer
    x = 27.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.