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Finding the Third Proportional to 35,589 and 54,589

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Solution

The third proportional to 35,589 and 54,589 is: 83,732.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,589 : 54,589 = 54,589 : x
  2. Step 2: Convert to fraction form
    35,589/54,589 = 54,589/x
  3. Step 3: Cross multiply
    35,589x = 54,589 × 54,589
  4. Step 4: Simplify right side
    35,589x = 2,979,958,921
  5. Step 5: Solve for x
    x = 2,979,958,921/35,589
  6. Step 6: Final answer
    x = 83,732.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.