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Finding the Third Proportional to 13,961 and 19,529

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Solution

The third proportional to 13,961 and 19,529 is: 27,317.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,961 : 19,529 = 19,529 : x
  2. Step 2: Convert to fraction form
    13,961/19,529 = 19,529/x
  3. Step 3: Cross multiply
    13,961x = 19,529 × 19,529
  4. Step 4: Simplify right side
    13,961x = 381,381,841
  5. Step 5: Solve for x
    x = 381,381,841/13,961
  6. Step 6: Final answer
    x = 27,317.66

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.