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Finding the Third Proportional to 30.38 and 35.44

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Solution

The third proportional to 30.38 and 35.44 is: 41.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.38 : 35.44 = 35.44 : x
  2. Step 2: Convert to fraction form
    30.38/35.44 = 35.44/x
  3. Step 3: Cross multiply
    30.38x = 35.44 × 35.44
  4. Step 4: Simplify right side
    30.38x = 1,255.82
  5. Step 5: Solve for x
    x = 1,255.82/30.38
  6. Step 6: Final answer
    x = 41.34

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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.