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Finding the Third Proportional to 31 and 40.25

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Solution

The third proportional to 31 and 40.25 is: 52.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31 : 40.25 = 40.25 : x
  2. Step 2: Convert to fraction form
    31/40.25 = 40.25/x
  3. Step 3: Cross multiply
    31x = 40.25 × 40.25
  4. Step 4: Simplify right side
    31x = 1,620.06
  5. Step 5: Solve for x
    x = 1,620.06/31
  6. Step 6: Final answer
    x = 52.26

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.