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Finding the Third Proportional to 16,596 and 36,504

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Solution

The third proportional to 16,596 and 36,504 is: 80,292.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,596 : 36,504 = 36,504 : x
  2. Step 2: Convert to fraction form
    16,596/36,504 = 36,504/x
  3. Step 3: Cross multiply
    16,596x = 36,504 × 36,504
  4. Step 4: Simplify right side
    16,596x = 1,332,542,016
  5. Step 5: Solve for x
    x = 1,332,542,016/16,596
  6. Step 6: Final answer
    x = 80,292.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.