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Finding the Third Proportional to 13,684 and 27,958

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Solution

The third proportional to 13,684 and 27,958 is: 57,121.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684 : 27,958 = 27,958 : x
  2. Step 2: Convert to fraction form
    13,684/27,958 = 27,958/x
  3. Step 3: Cross multiply
    13,684x = 27,958 × 27,958
  4. Step 4: Simplify right side
    13,684x = 781,649,764
  5. Step 5: Solve for x
    x = 781,649,764/13,684
  6. Step 6: Final answer
    x = 57,121.44

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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.