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Finding the Third Proportional to 23,893 and 52,096

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Solution

The third proportional to 23,893 and 52,096 is: 113,589.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,893 : 52,096 = 52,096 : x
  2. Step 2: Convert to fraction form
    23,893/52,096 = 52,096/x
  3. Step 3: Cross multiply
    23,893x = 52,096 × 52,096
  4. Step 4: Simplify right side
    23,893x = 2,713,993,216
  5. Step 5: Solve for x
    x = 2,713,993,216/23,893
  6. Step 6: Final answer
    x = 113,589.47

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.