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Finding the Third Proportional to 16.73 and 34.34

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Solution

The third proportional to 16.73 and 34.34 is: 70.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.73 : 34.34 = 34.34 : x
  2. Step 2: Convert to fraction form
    16.73/34.34 = 34.34/x
  3. Step 3: Cross multiply
    16.73x = 34.34 × 34.34
  4. Step 4: Simplify right side
    16.73x = 1,179.45
  5. Step 5: Solve for x
    x = 1,179.45/16.73
  6. Step 6: Final answer
    x = 70.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.