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Finding the Third Proportional to 7.73 and 15.86

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Solution

The third proportional to 7.73 and 15.86 is: 32.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.73 : 15.86 = 15.86 : x
  2. Step 2: Convert to fraction form
    7.73/15.86 = 15.86/x
  3. Step 3: Cross multiply
    7.73x = 15.86 × 15.86
  4. Step 4: Simplify right side
    7.73x = 251.66
  5. Step 5: Solve for x
    x = 251.66/7.73
  6. Step 6: Final answer
    x = 32.56

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.