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Finding the Third Proportional to 6,344 and 13,296

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Solution

The third proportional to 6,344 and 13,296 is: 27,866.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344 : 13,296 = 13,296 : x
  2. Step 2: Convert to fraction form
    6,344/13,296 = 13,296/x
  3. Step 3: Cross multiply
    6,344x = 13,296 × 13,296
  4. Step 4: Simplify right side
    6,344x = 176,783,616
  5. Step 5: Solve for x
    x = 176,783,616/6,344
  6. Step 6: Final answer
    x = 27,866.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.