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Finding the Third Proportional to 11.67 and 17.07

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Solution

The third proportional to 11.67 and 17.07 is: 24.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.67 : 17.07 = 17.07 : x
  2. Step 2: Convert to fraction form
    11.67/17.07 = 17.07/x
  3. Step 3: Cross multiply
    11.67x = 17.07 × 17.07
  4. Step 4: Simplify right side
    11.67x = 291.33
  5. Step 5: Solve for x
    x = 291.33/11.67
  6. Step 6: Final answer
    x = 24.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.