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Finding the Third Proportional to 9.65 and 10.79

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Solution

The third proportional to 9.65 and 10.79 is: 12.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.65 : 10.79 = 10.79 : x
  2. Step 2: Convert to fraction form
    9.65/10.79 = 10.79/x
  3. Step 3: Cross multiply
    9.65x = 10.79 × 10.79
  4. Step 4: Simplify right side
    9.65x = 116.48
  5. Step 5: Solve for x
    x = 116.48/9.65
  6. Step 6: Final answer
    x = 12.07

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.