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Finding the Third Proportional to 22,975 and 50,052

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Solution

The third proportional to 22,975 and 50,052 is: 109,040.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,975 : 50,052 = 50,052 : x
  2. Step 2: Convert to fraction form
    22,975/50,052 = 50,052/x
  3. Step 3: Cross multiply
    22,975x = 50,052 × 50,052
  4. Step 4: Simplify right side
    22,975x = 2,505,202,704
  5. Step 5: Solve for x
    x = 2,505,202,704/22,975
  6. Step 6: Final answer
    x = 109,040.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.