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Finding the Third Proportional to 13,684 and 27,868

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Solution

The third proportional to 13,684 and 27,868 is: 56,754.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684 : 27,868 = 27,868 : x
  2. Step 2: Convert to fraction form
    13,684/27,868 = 27,868/x
  3. Step 3: Cross multiply
    13,684x = 27,868 × 27,868
  4. Step 4: Simplify right side
    13,684x = 776,625,424
  5. Step 5: Solve for x
    x = 776,625,424/13,684
  6. Step 6: Final answer
    x = 56,754.27

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.