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Finding the Third Proportional to 6,714 and 13,916

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Solution

The third proportional to 6,714 and 13,916 is: 28,843.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714 : 13,916 = 13,916 : x
  2. Step 2: Convert to fraction form
    6,714/13,916 = 13,916/x
  3. Step 3: Cross multiply
    6,714x = 13,916 × 13,916
  4. Step 4: Simplify right side
    6,714x = 193,655,056
  5. Step 5: Solve for x
    x = 193,655,056/6,714
  6. Step 6: Final answer
    x = 28,843.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.