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Finding the Third Proportional to 7.07 and 10.65

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Solution

The third proportional to 7.07 and 10.65 is: 16.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.07 : 10.65 = 10.65 : x
  2. Step 2: Convert to fraction form
    7.07/10.65 = 10.65/x
  3. Step 3: Cross multiply
    7.07x = 10.65 × 10.65
  4. Step 4: Simplify right side
    7.07x = 113.47
  5. Step 5: Solve for x
    x = 113.47/7.07
  6. Step 6: Final answer
    x = 16.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.