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Finding the Third Proportional to 13.75 and 22.88

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Solution

The third proportional to 13.75 and 22.88 is: 38.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.75 : 22.88 = 22.88 : x
  2. Step 2: Convert to fraction form
    13.75/22.88 = 22.88/x
  3. Step 3: Cross multiply
    13.75x = 22.88 × 22.88
  4. Step 4: Simplify right side
    13.75x = 523.27
  5. Step 5: Solve for x
    x = 523.27/13.75
  6. Step 6: Final answer
    x = 38.06

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.