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Finding the Third Proportional to 36,042 and 55,218

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Solution

The third proportional to 36,042 and 55,218 is: 84,596.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,042 : 55,218 = 55,218 : x
  2. Step 2: Convert to fraction form
    36,042/55,218 = 55,218/x
  3. Step 3: Cross multiply
    36,042x = 55,218 × 55,218
  4. Step 4: Simplify right side
    36,042x = 3,049,027,524
  5. Step 5: Solve for x
    x = 3,049,027,524/36,042
  6. Step 6: Final answer
    x = 84,596.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.