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Finding the Third Proportional to 7.42 and 16.33

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Solution

The third proportional to 7.42 and 16.33 is: 35.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.42 : 16.33 = 16.33 : x
  2. Step 2: Convert to fraction form
    7.42/16.33 = 16.33/x
  3. Step 3: Cross multiply
    7.42x = 16.33 × 16.33
  4. Step 4: Simplify right side
    7.42x = 266.58
  5. Step 5: Solve for x
    x = 266.58/7.42
  6. Step 6: Final answer
    x = 35.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.