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Finding the Third Proportional to 3.56 and 7.82

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Solution

The third proportional to 3.56 and 7.82 is: 17.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.56 : 7.82 = 7.82 : x
  2. Step 2: Convert to fraction form
    3.56/7.82 = 7.82/x
  3. Step 3: Cross multiply
    3.56x = 7.82 × 7.82
  4. Step 4: Simplify right side
    3.56x = 61.14
  5. Step 5: Solve for x
    x = 61.14/3.56
  6. Step 6: Final answer
    x = 17.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.