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Finding the Third Proportional to 31.31 and 57.75

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Solution

The third proportional to 31.31 and 57.75 is: 106.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.31 : 57.75 = 57.75 : x
  2. Step 2: Convert to fraction form
    31.31/57.75 = 57.75/x
  3. Step 3: Cross multiply
    31.31x = 57.75 × 57.75
  4. Step 4: Simplify right side
    31.31x = 3,335.06
  5. Step 5: Solve for x
    x = 3,335.06/31.31
  6. Step 6: Final answer
    x = 106.51

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.