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Finding the Third Proportional to 13,649 and 18,529

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Solution

The third proportional to 13,649 and 18,529 is: 25,153.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649 : 18,529 = 18,529 : x
  2. Step 2: Convert to fraction form
    13,649/18,529 = 18,529/x
  3. Step 3: Cross multiply
    13,649x = 18,529 × 18,529
  4. Step 4: Simplify right side
    13,649x = 343,323,841
  5. Step 5: Solve for x
    x = 343,323,841/13,649
  6. Step 6: Final answer
    x = 25,153.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.