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Finding the Third Proportional to 36,245 and 51,042

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Solution

The third proportional to 36,245 and 51,042 is: 71,879.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,245 : 51,042 = 51,042 : x
  2. Step 2: Convert to fraction form
    36,245/51,042 = 51,042/x
  3. Step 3: Cross multiply
    36,245x = 51,042 × 51,042
  4. Step 4: Simplify right side
    36,245x = 2,605,285,764
  5. Step 5: Solve for x
    x = 2,605,285,764/36,245
  6. Step 6: Final answer
    x = 71,879.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.