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Finding the Third Proportional to 28.38 and 37.88

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Solution

The third proportional to 28.38 and 37.88 is: 50.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.38 : 37.88 = 37.88 : x
  2. Step 2: Convert to fraction form
    28.38/37.88 = 37.88/x
  3. Step 3: Cross multiply
    28.38x = 37.88 × 37.88
  4. Step 4: Simplify right side
    28.38x = 1,434.52
  5. Step 5: Solve for x
    x = 1,434.52/28.38
  6. Step 6: Final answer
    x = 50.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.