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Finding the Third Proportional to 6.74 and 15.82

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Solution

The third proportional to 6.74 and 15.82 is: 37.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.74 : 15.82 = 15.82 : x
  2. Step 2: Convert to fraction form
    6.74/15.82 = 15.82/x
  3. Step 3: Cross multiply
    6.74x = 15.82 × 15.82
  4. Step 4: Simplify right side
    6.74x = 250.20
  5. Step 5: Solve for x
    x = 250.20/6.74
  6. Step 6: Final answer
    x = 37.14

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.