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Finding the Third Proportional to 4,605 and 9,589

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Solution

The third proportional to 4,605 and 9,589 is: 19,967.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605 : 9,589 = 9,589 : x
  2. Step 2: Convert to fraction form
    4,605/9,589 = 9,589/x
  3. Step 3: Cross multiply
    4,605x = 9,589 × 9,589
  4. Step 4: Simplify right side
    4,605x = 91,948,921
  5. Step 5: Solve for x
    x = 91,948,921/4,605
  6. Step 6: Final answer
    x = 19,967.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.