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Finding the Third Proportional to 13,682 and 19,539

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Solution

The third proportional to 13,682 and 19,539 is: 27,903.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682 : 19,539 = 19,539 : x
  2. Step 2: Convert to fraction form
    13,682/19,539 = 19,539/x
  3. Step 3: Cross multiply
    13,682x = 19,539 × 19,539
  4. Step 4: Simplify right side
    13,682x = 381,772,521
  5. Step 5: Solve for x
    x = 381,772,521/13,682
  6. Step 6: Final answer
    x = 27,903.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.