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Finding the Third Proportional to 8.25 and 11.25

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Solution

The third proportional to 8.25 and 11.25 is: 15.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.25 : 11.25 = 11.25 : x
  2. Step 2: Convert to fraction form
    8.25/11.25 = 11.25/x
  3. Step 3: Cross multiply
    8.25x = 11.25 × 11.25
  4. Step 4: Simplify right side
    8.25x = 126.56
  5. Step 5: Solve for x
    x = 126.56/8.25
  6. Step 6: Final answer
    x = 15.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.