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Finding the Third Proportional to 23,939 and 50,758

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Solution

The third proportional to 23,939 and 50,758 is: 107,622.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,939 : 50,758 = 50,758 : x
  2. Step 2: Convert to fraction form
    23,939/50,758 = 50,758/x
  3. Step 3: Cross multiply
    23,939x = 50,758 × 50,758
  4. Step 4: Simplify right side
    23,939x = 2,576,374,564
  5. Step 5: Solve for x
    x = 2,576,374,564/23,939
  6. Step 6: Final answer
    x = 107,622.48

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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.