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Finding the Third Proportional to 22,593 and 47,729

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Solution

The third proportional to 22,593 and 47,729 is: 100,830.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,593 : 47,729 = 47,729 : x
  2. Step 2: Convert to fraction form
    22,593/47,729 = 47,729/x
  3. Step 3: Cross multiply
    22,593x = 47,729 × 47,729
  4. Step 4: Simplify right side
    22,593x = 2,278,057,441
  5. Step 5: Solve for x
    x = 2,278,057,441/22,593
  6. Step 6: Final answer
    x = 100,830.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.