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Finding the Third Proportional to 34,638 and 53,589

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Solution

The third proportional to 34,638 and 53,589 is: 82,908.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,638 : 53,589 = 53,589 : x
  2. Step 2: Convert to fraction form
    34,638/53,589 = 53,589/x
  3. Step 3: Cross multiply
    34,638x = 53,589 × 53,589
  4. Step 4: Simplify right side
    34,638x = 2,871,780,921
  5. Step 5: Solve for x
    x = 2,871,780,921/34,638
  6. Step 6: Final answer
    x = 82,908.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.