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Finding the Third Proportional to 5.71 and 11.86

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Solution

The third proportional to 5.71 and 11.86 is: 24.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.71 : 11.86 = 11.86 : x
  2. Step 2: Convert to fraction form
    5.71/11.86 = 11.86/x
  3. Step 3: Cross multiply
    5.71x = 11.86 × 11.86
  4. Step 4: Simplify right side
    5.71x = 140.74
  5. Step 5: Solve for x
    x = 140.74/5.71
  6. Step 6: Final answer
    x = 24.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.