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Finding the Third Proportional to 23,867 and 50,133

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Solution

The third proportional to 23,867 and 50,133 is: 105,305.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,867 : 50,133 = 50,133 : x
  2. Step 2: Convert to fraction form
    23,867/50,133 = 50,133/x
  3. Step 3: Cross multiply
    23,867x = 50,133 × 50,133
  4. Step 4: Simplify right side
    23,867x = 2,513,317,689
  5. Step 5: Solve for x
    x = 2,513,317,689/23,867
  6. Step 6: Final answer
    x = 105,305.14

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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.