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Finding the Third Proportional to 11.67 and 31.57

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Solution

The third proportional to 11.67 and 31.57 is: 85.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.67 : 31.57 = 31.57 : x
  2. Step 2: Convert to fraction form
    11.67/31.57 = 31.57/x
  3. Step 3: Cross multiply
    11.67x = 31.57 × 31.57
  4. Step 4: Simplify right side
    11.67x = 996.68
  5. Step 5: Solve for x
    x = 996.68/11.67
  6. Step 6: Final answer
    x = 85.39

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.