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Finding the Third Proportional to 6.80 and 10.36

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Solution

The third proportional to 6.80 and 10.36 is: 15.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.80 : 10.36 = 10.36 : x
  2. Step 2: Convert to fraction form
    6.80/10.36 = 10.36/x
  3. Step 3: Cross multiply
    6.80x = 10.36 × 10.36
  4. Step 4: Simplify right side
    6.80x = 107.32
  5. Step 5: Solve for x
    x = 107.32/6.80
  6. Step 6: Final answer
    x = 15.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.