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Finding the Third Proportional to 3.06 and 7.84

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Solution

The third proportional to 3.06 and 7.84 is: 20.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.06 : 7.84 = 7.84 : x
  2. Step 2: Convert to fraction form
    3.06/7.84 = 7.84/x
  3. Step 3: Cross multiply
    3.06x = 7.84 × 7.84
  4. Step 4: Simplify right side
    3.06x = 61.41
  5. Step 5: Solve for x
    x = 61.41/3.06
  6. Step 6: Final answer
    x = 20.09

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.