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Finding the Third Proportional to 37,674 and 50,367

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Solution

The third proportional to 37,674 and 50,367 is: 67,336.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,674 : 50,367 = 50,367 : x
  2. Step 2: Convert to fraction form
    37,674/50,367 = 50,367/x
  3. Step 3: Cross multiply
    37,674x = 50,367 × 50,367
  4. Step 4: Simplify right side
    37,674x = 2,536,834,689
  5. Step 5: Solve for x
    x = 2,536,834,689/37,674
  6. Step 6: Final answer
    x = 67,336.48

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.