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Finding the Third Proportional to 23,869 and 50,137

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Solution

The third proportional to 23,869 and 50,137 is: 105,313.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,869 : 50,137 = 50,137 : x
  2. Step 2: Convert to fraction form
    23,869/50,137 = 50,137/x
  3. Step 3: Cross multiply
    23,869x = 50,137 × 50,137
  4. Step 4: Simplify right side
    23,869x = 2,513,718,769
  5. Step 5: Solve for x
    x = 2,513,718,769/23,869
  6. Step 6: Final answer
    x = 105,313.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.