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Finding the Third Proportional to 24.50 and 49.81

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Solution

The third proportional to 24.50 and 49.81 is: 101.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.50 : 49.81 = 49.81 : x
  2. Step 2: Convert to fraction form
    24.50/49.81 = 49.81/x
  3. Step 3: Cross multiply
    24.50x = 49.81 × 49.81
  4. Step 4: Simplify right side
    24.50x = 2,481.29
  5. Step 5: Solve for x
    x = 2,481.29/24.50
  6. Step 6: Final answer
    x = 101.28

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.