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Finding the Third Proportional to 24.26 and 52.31

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Solution

The third proportional to 24.26 and 52.31 is: 112.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.26 : 52.31 = 52.31 : x
  2. Step 2: Convert to fraction form
    24.26/52.31 = 52.31/x
  3. Step 3: Cross multiply
    24.26x = 52.31 × 52.31
  4. Step 4: Simplify right side
    24.26x = 2,736.60
  5. Step 5: Solve for x
    x = 2,736.60/24.26
  6. Step 6: Final answer
    x = 112.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.