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Finding the Third Proportional to 7.38 and 16.19

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Solution

The third proportional to 7.38 and 16.19 is: 35.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.38 : 16.19 = 16.19 : x
  2. Step 2: Convert to fraction form
    7.38/16.19 = 16.19/x
  3. Step 3: Cross multiply
    7.38x = 16.19 × 16.19
  4. Step 4: Simplify right side
    7.38x = 262.04
  5. Step 5: Solve for x
    x = 262.04/7.38
  6. Step 6: Final answer
    x = 35.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.