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Finding the Third Proportional to 6.94 and 16.22

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Solution

The third proportional to 6.94 and 16.22 is: 37.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.94 : 16.22 = 16.22 : x
  2. Step 2: Convert to fraction form
    6.94/16.22 = 16.22/x
  3. Step 3: Cross multiply
    6.94x = 16.22 × 16.22
  4. Step 4: Simplify right side
    6.94x = 263.05
  5. Step 5: Solve for x
    x = 263.05/6.94
  6. Step 6: Final answer
    x = 37.92

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.