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Finding the Third Proportional to 17,942 and 36,612

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Solution

The third proportional to 17,942 and 36,612 is: 74,709.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,942 : 36,612 = 36,612 : x
  2. Step 2: Convert to fraction form
    17,942/36,612 = 36,612/x
  3. Step 3: Cross multiply
    17,942x = 36,612 × 36,612
  4. Step 4: Simplify right side
    17,942x = 1,340,438,544
  5. Step 5: Solve for x
    x = 1,340,438,544/17,942
  6. Step 6: Final answer
    x = 74,709.54

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.