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Finding the Third Proportional to 6.77 and 15.79

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Solution

The third proportional to 6.77 and 15.79 is: 36.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.77 : 15.79 = 15.79 : x
  2. Step 2: Convert to fraction form
    6.77/15.79 = 15.79/x
  3. Step 3: Cross multiply
    6.77x = 15.79 × 15.79
  4. Step 4: Simplify right side
    6.77x = 249.29
  5. Step 5: Solve for x
    x = 249.29/6.77
  6. Step 6: Final answer
    x = 36.85

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.