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Finding the Third Proportional to 4.98 and 12.24

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Solution

The third proportional to 4.98 and 12.24 is: 30.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.98 : 12.24 = 12.24 : x
  2. Step 2: Convert to fraction form
    4.98/12.24 = 12.24/x
  3. Step 3: Cross multiply
    4.98x = 12.24 × 12.24
  4. Step 4: Simplify right side
    4.98x = 149.72
  5. Step 5: Solve for x
    x = 149.72/4.98
  6. Step 6: Final answer
    x = 30.04

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.