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Finding the Third Proportional to 6,214 and 13,400

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Solution

The third proportional to 6,214 and 13,400 is: 28,896.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214 : 13,400 = 13,400 : x
  2. Step 2: Convert to fraction form
    6,214/13,400 = 13,400/x
  3. Step 3: Cross multiply
    6,214x = 13,400 × 13,400
  4. Step 4: Simplify right side
    6,214x = 179,560,000
  5. Step 5: Solve for x
    x = 179,560,000/6,214
  6. Step 6: Final answer
    x = 28,896.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.