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Finding the Third Proportional to 16.13 and 33.94

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Solution

The third proportional to 16.13 and 33.94 is: 71.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.13 : 33.94 = 33.94 : x
  2. Step 2: Convert to fraction form
    16.13/33.94 = 33.94/x
  3. Step 3: Cross multiply
    16.13x = 33.94 × 33.94
  4. Step 4: Simplify right side
    16.13x = 1,151.75
  5. Step 5: Solve for x
    x = 1,151.75/16.13
  6. Step 6: Final answer
    x = 71.43

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.