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Finding the Third Proportional to 6,714 and 14,399

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Solution

The third proportional to 6,714 and 14,399 is: 30,880.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714 : 14,399 = 14,399 : x
  2. Step 2: Convert to fraction form
    6,714/14,399 = 14,399/x
  3. Step 3: Cross multiply
    6,714x = 14,399 × 14,399
  4. Step 4: Simplify right side
    6,714x = 207,331,201
  5. Step 5: Solve for x
    x = 207,331,201/6,714
  6. Step 6: Final answer
    x = 30,880.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.