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Finding the Third Proportional to 37,550 and 50,249

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Solution

The third proportional to 37,550 and 50,249 is: 67,242.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,550 : 50,249 = 50,249 : x
  2. Step 2: Convert to fraction form
    37,550/50,249 = 50,249/x
  3. Step 3: Cross multiply
    37,550x = 50,249 × 50,249
  4. Step 4: Simplify right side
    37,550x = 2,524,962,001
  5. Step 5: Solve for x
    x = 2,524,962,001/37,550
  6. Step 6: Final answer
    x = 67,242.66

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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.