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Finding the Third Proportional to 16.49 and 34.14

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Solution

The third proportional to 16.49 and 34.14 is: 70.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.49 : 34.14 = 34.14 : x
  2. Step 2: Convert to fraction form
    16.49/34.14 = 34.14/x
  3. Step 3: Cross multiply
    16.49x = 34.14 × 34.14
  4. Step 4: Simplify right side
    16.49x = 1,165.69
  5. Step 5: Solve for x
    x = 1,165.69/16.49
  6. Step 6: Final answer
    x = 70.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.