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Finding the Third Proportional to 23,765 and 50,589

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Solution

The third proportional to 23,765 and 50,589 is: 107,689.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,765 : 50,589 = 50,589 : x
  2. Step 2: Convert to fraction form
    23,765/50,589 = 50,589/x
  3. Step 3: Cross multiply
    23,765x = 50,589 × 50,589
  4. Step 4: Simplify right side
    23,765x = 2,559,246,921
  5. Step 5: Solve for x
    x = 2,559,246,921/23,765
  6. Step 6: Final answer
    x = 107,689.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.