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Finding the Third Proportional to 7,589 and 16,393

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Solution

The third proportional to 7,589 and 16,393 is: 35,410.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,589 : 16,393 = 16,393 : x
  2. Step 2: Convert to fraction form
    7,589/16,393 = 16,393/x
  3. Step 3: Cross multiply
    7,589x = 16,393 × 16,393
  4. Step 4: Simplify right side
    7,589x = 268,730,449
  5. Step 5: Solve for x
    x = 268,730,449/7,589
  6. Step 6: Final answer
    x = 35,410.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.