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Finding the Third Proportional to 23,598 and 50,885

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Solution

The third proportional to 23,598 and 50,885 is: 109,724.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,598 : 50,885 = 50,885 : x
  2. Step 2: Convert to fraction form
    23,598/50,885 = 50,885/x
  3. Step 3: Cross multiply
    23,598x = 50,885 × 50,885
  4. Step 4: Simplify right side
    23,598x = 2,589,283,225
  5. Step 5: Solve for x
    x = 2,589,283,225/23,598
  6. Step 6: Final answer
    x = 109,724.69

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Why These Related Problems?

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