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Finding the Third Proportional to 23,208 and 33,834

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Solution

The third proportional to 23,208 and 33,834 is: 49,325.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,208 : 33,834 = 33,834 : x
  2. Step 2: Convert to fraction form
    23,208/33,834 = 33,834/x
  3. Step 3: Cross multiply
    23,208x = 33,834 × 33,834
  4. Step 4: Simplify right side
    23,208x = 1,144,739,556
  5. Step 5: Solve for x
    x = 1,144,739,556/23,208
  6. Step 6: Final answer
    x = 49,325.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.