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Finding the Third Proportional to 16 and 34

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Solution

The third proportional to 16 and 34 is: 72.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16 : 34 = 34 : x
  2. Step 2: Convert to fraction form
    16/34 = 34/x
  3. Step 3: Cross multiply
    16x = 34 × 34
  4. Step 4: Simplify right side
    16x = 1,156
  5. Step 5: Solve for x
    x = 1,156/16
  6. Step 6: Final answer
    x = 72.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.