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Finding the Third Proportional to 5,714 and 13,691

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Solution

The third proportional to 5,714 and 13,691 is: 32,804.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714 : 13,691 = 13,691 : x
  2. Step 2: Convert to fraction form
    5,714/13,691 = 13,691/x
  3. Step 3: Cross multiply
    5,714x = 13,691 × 13,691
  4. Step 4: Simplify right side
    5,714x = 187,443,481
  5. Step 5: Solve for x
    x = 187,443,481/5,714
  6. Step 6: Final answer
    x = 32,804.25

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.