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Finding the Third Proportional to 22,937 and 50,245

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Solution

The third proportional to 22,937 and 50,245 is: 110,064.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,937 : 50,245 = 50,245 : x
  2. Step 2: Convert to fraction form
    22,937/50,245 = 50,245/x
  3. Step 3: Cross multiply
    22,937x = 50,245 × 50,245
  4. Step 4: Simplify right side
    22,937x = 2,524,560,025
  5. Step 5: Solve for x
    x = 2,524,560,025/22,937
  6. Step 6: Final answer
    x = 110,064.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.