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Finding the Third Proportional to 22,529 and 48,899

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Solution

The third proportional to 22,529 and 48,899 is: 106,134.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,529 : 48,899 = 48,899 : x
  2. Step 2: Convert to fraction form
    22,529/48,899 = 48,899/x
  3. Step 3: Cross multiply
    22,529x = 48,899 × 48,899
  4. Step 4: Simplify right side
    22,529x = 2,391,112,201
  5. Step 5: Solve for x
    x = 2,391,112,201/22,529
  6. Step 6: Final answer
    x = 106,134.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.