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Finding the Third Proportional to 32,311 and 69,812

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Solution

The third proportional to 32,311 and 69,812 is: 150,837.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,311 : 69,812 = 69,812 : x
  2. Step 2: Convert to fraction form
    32,311/69,812 = 69,812/x
  3. Step 3: Cross multiply
    32,311x = 69,812 × 69,812
  4. Step 4: Simplify right side
    32,311x = 4,873,715,344
  5. Step 5: Solve for x
    x = 4,873,715,344/32,311
  6. Step 6: Final answer
    x = 150,837.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.