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Finding the Third Proportional to 2 and 16

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Solution

The third proportional to 2 and 16 is: 128

Step by Step Solution

  1. Step 1: Write the proportion equation
    2 : 16 = 16 : x
  2. Step 2: Convert to fraction form
    2/16 = 16/x
  3. Step 3: Cross multiply
    2x = 16 × 16
  4. Step 4: Simplify right side
    2x = 256
  5. Step 5: Solve for x
    x = 256/2
  6. Step 6: Final answer
    x = 128

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Why These Related Problems?

These problems maintain the same ratio (8) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.