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Finding the Third Proportional to 18,406 and 24,523

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Solution

The third proportional to 18,406 and 24,523 is: 32,672.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,406 : 24,523 = 24,523 : x
  2. Step 2: Convert to fraction form
    18,406/24,523 = 24,523/x
  3. Step 3: Cross multiply
    18,406x = 24,523 × 24,523
  4. Step 4: Simplify right side
    18,406x = 601,377,529
  5. Step 5: Solve for x
    x = 601,377,529/18,406
  6. Step 6: Final answer
    x = 32,672.91

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.