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Finding the Third Proportional to 9.75 and 10.69

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Solution

The third proportional to 9.75 and 10.69 is: 11.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.75 : 10.69 = 10.69 : x
  2. Step 2: Convert to fraction form
    9.75/10.69 = 10.69/x
  3. Step 3: Cross multiply
    9.75x = 10.69 × 10.69
  4. Step 4: Simplify right side
    9.75x = 114.22
  5. Step 5: Solve for x
    x = 114.22/9.75
  6. Step 6: Final answer
    x = 11.72

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.