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Finding the Third Proportional to 16 and 38

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Solution

The third proportional to 16 and 38 is: 90.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16 : 38 = 38 : x
  2. Step 2: Convert to fraction form
    16/38 = 38/x
  3. Step 3: Cross multiply
    16x = 38 × 38
  4. Step 4: Simplify right side
    16x = 1,444
  5. Step 5: Solve for x
    x = 1,444/16
  6. Step 6: Final answer
    x = 90.25

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.