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Finding the Third Proportional to 16,976.25 and 27,408.38

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Solution

The third proportional to 16,976.25 and 27,408.38 is: 44,251.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,976.25 : 27,408.38 = 27,408.38 : x
  2. Step 2: Convert to fraction form
    16,976.25/27,408.38 = 27,408.38/x
  3. Step 3: Cross multiply
    16,976.25x = 27,408.38 × 27,408.38
  4. Step 4: Simplify right side
    16,976.25x = 751,219,020.14
  5. Step 5: Solve for x
    x = 751,219,020.14/16,976.25
  6. Step 6: Final answer
    x = 44,251.18

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.