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Finding the Third Proportional to 4.92 and 11.67

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Solution

The third proportional to 4.92 and 11.67 is: 27.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.92 : 11.67 = 11.67 : x
  2. Step 2: Convert to fraction form
    4.92/11.67 = 11.67/x
  3. Step 3: Cross multiply
    4.92x = 11.67 × 11.67
  4. Step 4: Simplify right side
    4.92x = 136.23
  5. Step 5: Solve for x
    x = 136.23/4.92
  6. Step 6: Final answer
    x = 27.68

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.