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Finding the Third Proportional to 36,574 and 80,923

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Solution

The third proportional to 36,574 and 80,923 is: 179,048.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,574 : 80,923 = 80,923 : x
  2. Step 2: Convert to fraction form
    36,574/80,923 = 80,923/x
  3. Step 3: Cross multiply
    36,574x = 80,923 × 80,923
  4. Step 4: Simplify right side
    36,574x = 6,548,531,929
  5. Step 5: Solve for x
    x = 6,548,531,929/36,574
  6. Step 6: Final answer
    x = 179,048.83

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.