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Finding the Third Proportional to 15,589 and 33,411

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Solution

The third proportional to 15,589 and 33,411 is: 71,607.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,589 : 33,411 = 33,411 : x
  2. Step 2: Convert to fraction form
    15,589/33,411 = 33,411/x
  3. Step 3: Cross multiply
    15,589x = 33,411 × 33,411
  4. Step 4: Simplify right side
    15,589x = 1,116,294,921
  5. Step 5: Solve for x
    x = 1,116,294,921/15,589
  6. Step 6: Final answer
    x = 71,607.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.