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Finding the Third Proportional to 32,879 and 50,138

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Solution

The third proportional to 32,879 and 50,138 is: 76,456.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,879 : 50,138 = 50,138 : x
  2. Step 2: Convert to fraction form
    32,879/50,138 = 50,138/x
  3. Step 3: Cross multiply
    32,879x = 50,138 × 50,138
  4. Step 4: Simplify right side
    32,879x = 2,513,819,044
  5. Step 5: Solve for x
    x = 2,513,819,044/32,879
  6. Step 6: Final answer
    x = 76,456.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.