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Finding the Third Proportional to 7.73 and 11.91

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Solution

The third proportional to 7.73 and 11.91 is: 18.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.73 : 11.91 = 11.91 : x
  2. Step 2: Convert to fraction form
    7.73/11.91 = 11.91/x
  3. Step 3: Cross multiply
    7.73x = 11.91 × 11.91
  4. Step 4: Simplify right side
    7.73x = 141.86
  5. Step 5: Solve for x
    x = 141.86/7.73
  6. Step 6: Final answer
    x = 18.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.