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Finding the Third Proportional to 31 and 36.38

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Solution

The third proportional to 31 and 36.38 is: 42.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31 : 36.38 = 36.38 : x
  2. Step 2: Convert to fraction form
    31/36.38 = 36.38/x
  3. Step 3: Cross multiply
    31x = 36.38 × 36.38
  4. Step 4: Simplify right side
    31x = 1,323.14
  5. Step 5: Solve for x
    x = 1,323.14/31
  6. Step 6: Final answer
    x = 42.68

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.