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Finding the Third Proportional to 36,826 and 78,812

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Solution

The third proportional to 36,826 and 78,812 is: 168,667.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,826 : 78,812 = 78,812 : x
  2. Step 2: Convert to fraction form
    36,826/78,812 = 78,812/x
  3. Step 3: Cross multiply
    36,826x = 78,812 × 78,812
  4. Step 4: Simplify right side
    36,826x = 6,211,331,344
  5. Step 5: Solve for x
    x = 6,211,331,344/36,826
  6. Step 6: Final answer
    x = 168,667.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.