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Finding the Third Proportional to 23,625 and 50,965.88

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Solution

The third proportional to 23,625 and 50,965.88 is: 109,947.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,625 : 50,965.88 = 50,965.88 : x
  2. Step 2: Convert to fraction form
    23,625/50,965.88 = 50,965.88/x
  3. Step 3: Cross multiply
    23,625x = 50,965.88 × 50,965.88
  4. Step 4: Simplify right side
    23,625x = 2,597,520,414.52
  5. Step 5: Solve for x
    x = 2,597,520,414.52/23,625
  6. Step 6: Final answer
    x = 109,947.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.