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Finding the Third Proportional to 24.36 and 50.31

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Solution

The third proportional to 24.36 and 50.31 is: 103.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.36 : 50.31 = 50.31 : x
  2. Step 2: Convert to fraction form
    24.36/50.31 = 50.31/x
  3. Step 3: Cross multiply
    24.36x = 50.31 × 50.31
  4. Step 4: Simplify right side
    24.36x = 2,530.95
  5. Step 5: Solve for x
    x = 2,530.95/24.36
  6. Step 6: Final answer
    x = 103.88

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.