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Finding the Third Proportional to 23,417 and 50,115

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Solution

The third proportional to 23,417 and 50,115 is: 107,251.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,417 : 50,115 = 50,115 : x
  2. Step 2: Convert to fraction form
    23,417/50,115 = 50,115/x
  3. Step 3: Cross multiply
    23,417x = 50,115 × 50,115
  4. Step 4: Simplify right side
    23,417x = 2,511,513,225
  5. Step 5: Solve for x
    x = 2,511,513,225/23,417
  6. Step 6: Final answer
    x = 107,251.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.