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Finding the Third Proportional to 18,981.75 and 37,941

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Solution

The third proportional to 18,981.75 and 37,941 is: 75,837.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,981.75 : 37,941 = 37,941 : x
  2. Step 2: Convert to fraction form
    18,981.75/37,941 = 37,941/x
  3. Step 3: Cross multiply
    18,981.75x = 37,941 × 37,941
  4. Step 4: Simplify right side
    18,981.75x = 1,439,519,481
  5. Step 5: Solve for x
    x = 1,439,519,481/18,981.75
  6. Step 6: Final answer
    x = 75,837.03

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.