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Finding the Third Proportional to 6.80 and 15.37

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Solution

The third proportional to 6.80 and 15.37 is: 34.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.80 : 15.37 = 15.37 : x
  2. Step 2: Convert to fraction form
    6.80/15.37 = 15.37/x
  3. Step 3: Cross multiply
    6.80x = 15.37 × 15.37
  4. Step 4: Simplify right side
    6.80x = 236.12
  5. Step 5: Solve for x
    x = 236.12/6.80
  6. Step 6: Final answer
    x = 34.71

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.