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Finding the Third Proportional to 22,951.69 and 50,115.38

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Solution

The third proportional to 22,951.69 and 50,115.38 is: 109,427.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,951.69 : 50,115.38 = 50,115.38 : x
  2. Step 2: Convert to fraction form
    22,951.69/50,115.38 = 50,115.38/x
  3. Step 3: Cross multiply
    22,951.69x = 50,115.38 × 50,115.38
  4. Step 4: Simplify right side
    22,951.69x = 2,511,550,811.39
  5. Step 5: Solve for x
    x = 2,511,550,811.39/22,951.69
  6. Step 6: Final answer
    x = 109,427.72

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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.