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Finding the Third Proportional to 13,208 and 27,523

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Solution

The third proportional to 13,208 and 27,523 is: 57,352.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,208 : 27,523 = 27,523 : x
  2. Step 2: Convert to fraction form
    13,208/27,523 = 27,523/x
  3. Step 3: Cross multiply
    13,208x = 27,523 × 27,523
  4. Step 4: Simplify right side
    13,208x = 757,515,529
  5. Step 5: Solve for x
    x = 757,515,529/13,208
  6. Step 6: Final answer
    x = 57,352.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.