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Finding the Third Proportional to 36,684 and 79,812

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Solution

The third proportional to 36,684 and 79,812 is: 173,643.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,684 : 79,812 = 79,812 : x
  2. Step 2: Convert to fraction form
    36,684/79,812 = 79,812/x
  3. Step 3: Cross multiply
    36,684x = 79,812 × 79,812
  4. Step 4: Simplify right side
    36,684x = 6,369,955,344
  5. Step 5: Solve for x
    x = 6,369,955,344/36,684
  6. Step 6: Final answer
    x = 173,643.97

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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.