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Finding the Third Proportional to 31.75 and 41.56

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Solution

The third proportional to 31.75 and 41.56 is: 54.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.75 : 41.56 = 41.56 : x
  2. Step 2: Convert to fraction form
    31.75/41.56 = 41.56/x
  3. Step 3: Cross multiply
    31.75x = 41.56 × 41.56
  4. Step 4: Simplify right side
    31.75x = 1,727.44
  5. Step 5: Solve for x
    x = 1,727.44/31.75
  6. Step 6: Final answer
    x = 54.41

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.