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Finding the Third Proportional to 22,947 and 33,589

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Solution

The third proportional to 22,947 and 33,589 is: 49,166.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,947 : 33,589 = 33,589 : x
  2. Step 2: Convert to fraction form
    22,947/33,589 = 33,589/x
  3. Step 3: Cross multiply
    22,947x = 33,589 × 33,589
  4. Step 4: Simplify right side
    22,947x = 1,128,220,921
  5. Step 5: Solve for x
    x = 1,128,220,921/22,947
  6. Step 6: Final answer
    x = 49,166.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.