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Finding the Third Proportional to 26 and 31.38

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Solution

The third proportional to 26 and 31.38 is: 37.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26 : 31.38 = 31.38 : x
  2. Step 2: Convert to fraction form
    26/31.38 = 31.38/x
  3. Step 3: Cross multiply
    26x = 31.38 × 31.38
  4. Step 4: Simplify right side
    26x = 984.39
  5. Step 5: Solve for x
    x = 984.39/26
  6. Step 6: Final answer
    x = 37.86

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.