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Finding the Third Proportional to 10,714 and 11,698

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Solution

The third proportional to 10,714 and 11,698 is: 12,772.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714 : 11,698 = 11,698 : x
  2. Step 2: Convert to fraction form
    10,714/11,698 = 11,698/x
  3. Step 3: Cross multiply
    10,714x = 11,698 × 11,698
  4. Step 4: Simplify right side
    10,714x = 136,843,204
  5. Step 5: Solve for x
    x = 136,843,204/10,714
  6. Step 6: Final answer
    x = 12,772.37

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.