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Finding the Third Proportional to 24,876 and 50,616

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Solution

The third proportional to 24,876 and 50,616 is: 102,990.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,876 : 50,616 = 50,616 : x
  2. Step 2: Convert to fraction form
    24,876/50,616 = 50,616/x
  3. Step 3: Cross multiply
    24,876x = 50,616 × 50,616
  4. Step 4: Simplify right side
    24,876x = 2,561,979,456
  5. Step 5: Solve for x
    x = 2,561,979,456/24,876
  6. Step 6: Final answer
    x = 102,990.01

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.