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Finding the Third Proportional to 21,839 and 33,641

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Solution

The third proportional to 21,839 and 33,641 is: 51,820.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,839 : 33,641 = 33,641 : x
  2. Step 2: Convert to fraction form
    21,839/33,641 = 33,641/x
  3. Step 3: Cross multiply
    21,839x = 33,641 × 33,641
  4. Step 4: Simplify right side
    21,839x = 1,131,716,881
  5. Step 5: Solve for x
    x = 1,131,716,881/21,839
  6. Step 6: Final answer
    x = 51,820.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.