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Finding the Third Proportional to 13,684 and 19,542

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Solution

The third proportional to 13,684 and 19,542 is: 27,907.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684 : 19,542 = 19,542 : x
  2. Step 2: Convert to fraction form
    13,684/19,542 = 19,542/x
  3. Step 3: Cross multiply
    13,684x = 19,542 × 19,542
  4. Step 4: Simplify right side
    13,684x = 381,889,764
  5. Step 5: Solve for x
    x = 381,889,764/13,684
  6. Step 6: Final answer
    x = 27,907.76

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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.