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Finding the Third Proportional to 2.84 and 6.18

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Solution

The third proportional to 2.84 and 6.18 is: 13.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.84 : 6.18 = 6.18 : x
  2. Step 2: Convert to fraction form
    2.84/6.18 = 6.18/x
  3. Step 3: Cross multiply
    2.84x = 6.18 × 6.18
  4. Step 4: Simplify right side
    2.84x = 38.18
  5. Step 5: Solve for x
    x = 38.18/2.84
  6. Step 6: Final answer
    x = 13.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.