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Finding the Third Proportional to 36,232 and 76,812

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Solution

The third proportional to 36,232 and 76,812 is: 162,841.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,232 : 76,812 = 76,812 : x
  2. Step 2: Convert to fraction form
    36,232/76,812 = 76,812/x
  3. Step 3: Cross multiply
    36,232x = 76,812 × 76,812
  4. Step 4: Simplify right side
    36,232x = 5,900,083,344
  5. Step 5: Solve for x
    x = 5,900,083,344/36,232
  6. Step 6: Final answer
    x = 162,841.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.