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Finding the Third Proportional to 7.91 and 11.76

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Solution

The third proportional to 7.91 and 11.76 is: 17.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.91 : 11.76 = 11.76 : x
  2. Step 2: Convert to fraction form
    7.91/11.76 = 11.76/x
  3. Step 3: Cross multiply
    7.91x = 11.76 × 11.76
  4. Step 4: Simplify right side
    7.91x = 138.29
  5. Step 5: Solve for x
    x = 138.29/7.91
  6. Step 6: Final answer
    x = 17.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.