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Finding the Third Proportional to 37,660 and 49,974

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Solution

The third proportional to 37,660 and 49,974 is: 66,314.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,660 : 49,974 = 49,974 : x
  2. Step 2: Convert to fraction form
    37,660/49,974 = 49,974/x
  3. Step 3: Cross multiply
    37,660x = 49,974 × 49,974
  4. Step 4: Simplify right side
    37,660x = 2,497,400,676
  5. Step 5: Solve for x
    x = 2,497,400,676/37,660
  6. Step 6: Final answer
    x = 66,314.41

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.