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Finding the Third Proportional to 6,311 and 13,027

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Solution

The third proportional to 6,311 and 13,027 is: 26,889.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311 : 13,027 = 13,027 : x
  2. Step 2: Convert to fraction form
    6,311/13,027 = 13,027/x
  3. Step 3: Cross multiply
    6,311x = 13,027 × 13,027
  4. Step 4: Simplify right side
    6,311x = 169,702,729
  5. Step 5: Solve for x
    x = 169,702,729/6,311
  6. Step 6: Final answer
    x = 26,889.99

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.