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Finding the Third Proportional to 30,589 and 40,311

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Solution

The third proportional to 30,589 and 40,311 is: 53,122.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,589 : 40,311 = 40,311 : x
  2. Step 2: Convert to fraction form
    30,589/40,311 = 40,311/x
  3. Step 3: Cross multiply
    30,589x = 40,311 × 40,311
  4. Step 4: Simplify right side
    30,589x = 1,624,976,721
  5. Step 5: Solve for x
    x = 1,624,976,721/30,589
  6. Step 6: Final answer
    x = 53,122.91

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.