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Finding the Third Proportional to 37,198 and 55,879

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Solution

The third proportional to 37,198 and 55,879 is: 83,941.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,198 : 55,879 = 55,879 : x
  2. Step 2: Convert to fraction form
    37,198/55,879 = 55,879/x
  3. Step 3: Cross multiply
    37,198x = 55,879 × 55,879
  4. Step 4: Simplify right side
    37,198x = 3,122,462,641
  5. Step 5: Solve for x
    x = 3,122,462,641/37,198
  6. Step 6: Final answer
    x = 83,941.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.