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Finding the Third Proportional to 18,129 and 37,234

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Solution

The third proportional to 18,129 and 37,234 is: 76,472.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,129 : 37,234 = 37,234 : x
  2. Step 2: Convert to fraction form
    18,129/37,234 = 37,234/x
  3. Step 3: Cross multiply
    18,129x = 37,234 × 37,234
  4. Step 4: Simplify right side
    18,129x = 1,386,370,756
  5. Step 5: Solve for x
    x = 1,386,370,756/18,129
  6. Step 6: Final answer
    x = 76,472.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.