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Finding the Third Proportional to 4,821 and 11,589

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Solution

The third proportional to 4,821 and 11,589 is: 27,858.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,821 : 11,589 = 11,589 : x
  2. Step 2: Convert to fraction form
    4,821/11,589 = 11,589/x
  3. Step 3: Cross multiply
    4,821x = 11,589 × 11,589
  4. Step 4: Simplify right side
    4,821x = 134,304,921
  5. Step 5: Solve for x
    x = 134,304,921/4,821
  6. Step 6: Final answer
    x = 27,858.31

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.