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Finding the Third Proportional to 12.16 and 24.83

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Solution

The third proportional to 12.16 and 24.83 is: 50.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.16 : 24.83 = 24.83 : x
  2. Step 2: Convert to fraction form
    12.16/24.83 = 24.83/x
  3. Step 3: Cross multiply
    12.16x = 24.83 × 24.83
  4. Step 4: Simplify right side
    12.16x = 616.74
  5. Step 5: Solve for x
    x = 616.74/12.16
  6. Step 6: Final answer
    x = 50.70

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.