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Finding the Third Proportional to 23,834 and 50,833

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Solution

The third proportional to 23,834 and 50,833 is: 108,416.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,834 : 50,833 = 50,833 : x
  2. Step 2: Convert to fraction form
    23,834/50,833 = 50,833/x
  3. Step 3: Cross multiply
    23,834x = 50,833 × 50,833
  4. Step 4: Simplify right side
    23,834x = 2,583,993,889
  5. Step 5: Solve for x
    x = 2,583,993,889/23,834
  6. Step 6: Final answer
    x = 108,416.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.