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Finding the Third Proportional to 43,589 and 67,355

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Solution

The third proportional to 43,589 and 67,355 is: 104,078.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,589 : 67,355 = 67,355 : x
  2. Step 2: Convert to fraction form
    43,589/67,355 = 67,355/x
  3. Step 3: Cross multiply
    43,589x = 67,355 × 67,355
  4. Step 4: Simplify right side
    43,589x = 4,536,696,025
  5. Step 5: Solve for x
    x = 4,536,696,025/43,589
  6. Step 6: Final answer
    x = 104,078.92

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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.