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Finding the Third Proportional to 16,408.50 and 33,509

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Solution

The third proportional to 16,408.50 and 33,509 is: 68,431.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,408.50 : 33,509 = 33,509 : x
  2. Step 2: Convert to fraction form
    16,408.50/33,509 = 33,509/x
  3. Step 3: Cross multiply
    16,408.50x = 33,509 × 33,509
  4. Step 4: Simplify right side
    16,408.50x = 1,122,853,081
  5. Step 5: Solve for x
    x = 1,122,853,081/16,408.50
  6. Step 6: Final answer
    x = 68,431.18

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.