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Finding the Third Proportional to 6.94 and 16.38

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Solution

The third proportional to 6.94 and 16.38 is: 38.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.94 : 16.38 = 16.38 : x
  2. Step 2: Convert to fraction form
    6.94/16.38 = 16.38/x
  3. Step 3: Cross multiply
    6.94x = 16.38 × 16.38
  4. Step 4: Simplify right side
    6.94x = 268.14
  5. Step 5: Solve for x
    x = 268.14/6.94
  6. Step 6: Final answer
    x = 38.65

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.