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Finding the Third Proportional to 36,327 and 48,818

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Solution

The third proportional to 36,327 and 48,818 is: 65,604.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,327 : 48,818 = 48,818 : x
  2. Step 2: Convert to fraction form
    36,327/48,818 = 48,818/x
  3. Step 3: Cross multiply
    36,327x = 48,818 × 48,818
  4. Step 4: Simplify right side
    36,327x = 2,383,197,124
  5. Step 5: Solve for x
    x = 2,383,197,124/36,327
  6. Step 6: Final answer
    x = 65,604.02

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.