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Finding the Third Proportional to 10.75 and 12.25

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Solution

The third proportional to 10.75 and 12.25 is: 13.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.75 : 12.25 = 12.25 : x
  2. Step 2: Convert to fraction form
    10.75/12.25 = 12.25/x
  3. Step 3: Cross multiply
    10.75x = 12.25 × 12.25
  4. Step 4: Simplify right side
    10.75x = 150.06
  5. Step 5: Solve for x
    x = 150.06/10.75
  6. Step 6: Final answer
    x = 13.96

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.