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Finding the Third Proportional to 6,474 and 14,244

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Solution

The third proportional to 6,474 and 14,244 is: 31,339.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474 : 14,244 = 14,244 : x
  2. Step 2: Convert to fraction form
    6,474/14,244 = 14,244/x
  3. Step 3: Cross multiply
    6,474x = 14,244 × 14,244
  4. Step 4: Simplify right side
    6,474x = 202,891,536
  5. Step 5: Solve for x
    x = 202,891,536/6,474
  6. Step 6: Final answer
    x = 31,339.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.