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Finding the Third Proportional to 2.98 and 6.22

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Solution

The third proportional to 2.98 and 6.22 is: 12.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.98 : 6.22 = 6.22 : x
  2. Step 2: Convert to fraction form
    2.98/6.22 = 6.22/x
  3. Step 3: Cross multiply
    2.98x = 6.22 × 6.22
  4. Step 4: Simplify right side
    2.98x = 38.67
  5. Step 5: Solve for x
    x = 38.67/2.98
  6. Step 6: Final answer
    x = 12.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.