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Finding the Third Proportional to 23,899 and 50,645

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Solution

The third proportional to 23,899 and 50,645 is: 107,323.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,899 : 50,645 = 50,645 : x
  2. Step 2: Convert to fraction form
    23,899/50,645 = 50,645/x
  3. Step 3: Cross multiply
    23,899x = 50,645 × 50,645
  4. Step 4: Simplify right side
    23,899x = 2,564,916,025
  5. Step 5: Solve for x
    x = 2,564,916,025/23,899
  6. Step 6: Final answer
    x = 107,323.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.