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Finding the Third Proportional to 9.13 and 10.75

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Solution

The third proportional to 9.13 and 10.75 is: 12.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.13 : 10.75 = 10.75 : x
  2. Step 2: Convert to fraction form
    9.13/10.75 = 10.75/x
  3. Step 3: Cross multiply
    9.13x = 10.75 × 10.75
  4. Step 4: Simplify right side
    9.13x = 115.56
  5. Step 5: Solve for x
    x = 115.56/9.13
  6. Step 6: Final answer
    x = 12.66

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.