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Finding the Third Proportional to 11.71 and 16.29

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Solution

The third proportional to 11.71 and 16.29 is: 22.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.71 : 16.29 = 16.29 : x
  2. Step 2: Convert to fraction form
    11.71/16.29 = 16.29/x
  3. Step 3: Cross multiply
    11.71x = 16.29 × 16.29
  4. Step 4: Simplify right side
    11.71x = 265.52
  5. Step 5: Solve for x
    x = 265.52/11.71
  6. Step 6: Final answer
    x = 22.68

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.