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Finding the Third Proportional to 9,589 and 19,643

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Solution

The third proportional to 9,589 and 19,643 is: 40,238.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589 : 19,643 = 19,643 : x
  2. Step 2: Convert to fraction form
    9,589/19,643 = 19,643/x
  3. Step 3: Cross multiply
    9,589x = 19,643 × 19,643
  4. Step 4: Simplify right side
    9,589x = 385,847,449
  5. Step 5: Solve for x
    x = 385,847,449/9,589
  6. Step 6: Final answer
    x = 40,238.55

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.