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Finding the Third Proportional to 16,509 and 36,027

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Solution

The third proportional to 16,509 and 36,027 is: 78,620.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509 : 36,027 = 36,027 : x
  2. Step 2: Convert to fraction form
    16,509/36,027 = 36,027/x
  3. Step 3: Cross multiply
    16,509x = 36,027 × 36,027
  4. Step 4: Simplify right side
    16,509x = 1,297,944,729
  5. Step 5: Solve for x
    x = 1,297,944,729/16,509
  6. Step 6: Final answer
    x = 78,620.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.