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Finding the Third Proportional to 16.38 and 35.38

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Solution

The third proportional to 16.38 and 35.38 is: 76.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.38 : 35.38 = 35.38 : x
  2. Step 2: Convert to fraction form
    16.38/35.38 = 35.38/x
  3. Step 3: Cross multiply
    16.38x = 35.38 × 35.38
  4. Step 4: Simplify right side
    16.38x = 1,251.39
  5. Step 5: Solve for x
    x = 1,251.39/16.38
  6. Step 6: Final answer
    x = 76.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.