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Finding the Third Proportional to 38 and 90.13

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Solution

The third proportional to 38 and 90.13 is: 213.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38 : 90.13 = 90.13 : x
  2. Step 2: Convert to fraction form
    38/90.13 = 90.13/x
  3. Step 3: Cross multiply
    38x = 90.13 × 90.13
  4. Step 4: Simplify right side
    38x = 8,122.52
  5. Step 5: Solve for x
    x = 8,122.52/38
  6. Step 6: Final answer
    x = 213.75

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.