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Finding the Third Proportional to 34,589 and 52,023

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Solution

The third proportional to 34,589 and 52,023 is: 78,244.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,589 : 52,023 = 52,023 : x
  2. Step 2: Convert to fraction form
    34,589/52,023 = 52,023/x
  3. Step 3: Cross multiply
    34,589x = 52,023 × 52,023
  4. Step 4: Simplify right side
    34,589x = 2,706,392,529
  5. Step 5: Solve for x
    x = 2,706,392,529/34,589
  6. Step 6: Final answer
    x = 78,244.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.