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Finding the Third Proportional to 18,123 and 36,757

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Solution

The third proportional to 18,123 and 36,757 is: 74,550.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,123 : 36,757 = 36,757 : x
  2. Step 2: Convert to fraction form
    18,123/36,757 = 36,757/x
  3. Step 3: Cross multiply
    18,123x = 36,757 × 36,757
  4. Step 4: Simplify right side
    18,123x = 1,351,077,049
  5. Step 5: Solve for x
    x = 1,351,077,049/18,123
  6. Step 6: Final answer
    x = 74,550.41

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.