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Finding the Third Proportional to 16,723 and 36,325

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Solution

The third proportional to 16,723 and 36,325 is: 78,903.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,723 : 36,325 = 36,325 : x
  2. Step 2: Convert to fraction form
    16,723/36,325 = 36,325/x
  3. Step 3: Cross multiply
    16,723x = 36,325 × 36,325
  4. Step 4: Simplify right side
    16,723x = 1,319,505,625
  5. Step 5: Solve for x
    x = 1,319,505,625/16,723
  6. Step 6: Final answer
    x = 78,903.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.