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Finding the Third Proportional to 9,606 and 14,589

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Solution

The third proportional to 9,606 and 14,589 is: 22,156.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606 : 14,589 = 14,589 : x
  2. Step 2: Convert to fraction form
    9,606/14,589 = 14,589/x
  3. Step 3: Cross multiply
    9,606x = 14,589 × 14,589
  4. Step 4: Simplify right side
    9,606x = 212,838,921
  5. Step 5: Solve for x
    x = 212,838,921/9,606
  6. Step 6: Final answer
    x = 22,156.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.