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Finding the Third Proportional to 22,106 and 48,523

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Solution

The third proportional to 22,106 and 48,523 is: 106,508.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,106 : 48,523 = 48,523 : x
  2. Step 2: Convert to fraction form
    22,106/48,523 = 48,523/x
  3. Step 3: Cross multiply
    22,106x = 48,523 × 48,523
  4. Step 4: Simplify right side
    22,106x = 2,354,481,529
  5. Step 5: Solve for x
    x = 2,354,481,529/22,106
  6. Step 6: Final answer
    x = 106,508.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.