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Finding the Third Proportional to 15,589 and 33,049

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Solution

The third proportional to 15,589 and 33,049 is: 70,064.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,589 : 33,049 = 33,049 : x
  2. Step 2: Convert to fraction form
    15,589/33,049 = 33,049/x
  3. Step 3: Cross multiply
    15,589x = 33,049 × 33,049
  4. Step 4: Simplify right side
    15,589x = 1,092,236,401
  5. Step 5: Solve for x
    x = 1,092,236,401/15,589
  6. Step 6: Final answer
    x = 70,064.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.