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Finding the Third Proportional to 24,759 and 50,379

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Solution

The third proportional to 24,759 and 50,379 is: 102,509.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,759 : 50,379 = 50,379 : x
  2. Step 2: Convert to fraction form
    24,759/50,379 = 50,379/x
  3. Step 3: Cross multiply
    24,759x = 50,379 × 50,379
  4. Step 4: Simplify right side
    24,759x = 2,538,043,641
  5. Step 5: Solve for x
    x = 2,538,043,641/24,759
  6. Step 6: Final answer
    x = 102,509.94

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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.