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Finding the Third Proportional to 13,682 and 19,381

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Solution

The third proportional to 13,682 and 19,381 is: 27,453.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682 : 19,381 = 19,381 : x
  2. Step 2: Convert to fraction form
    13,682/19,381 = 19,381/x
  3. Step 3: Cross multiply
    13,682x = 19,381 × 19,381
  4. Step 4: Simplify right side
    13,682x = 375,623,161
  5. Step 5: Solve for x
    x = 375,623,161/13,682
  6. Step 6: Final answer
    x = 27,453.82

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.