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Finding the Third Proportional to 6,287 and 13,219

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Solution

The third proportional to 6,287 and 13,219 is: 27,794.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287 : 13,219 = 13,219 : x
  2. Step 2: Convert to fraction form
    6,287/13,219 = 13,219/x
  3. Step 3: Cross multiply
    6,287x = 13,219 × 13,219
  4. Step 4: Simplify right side
    6,287x = 174,741,961
  5. Step 5: Solve for x
    x = 174,741,961/6,287
  6. Step 6: Final answer
    x = 27,794.17

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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.