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Finding the Third Proportional to 6,223 and 8,450

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Solution

The third proportional to 6,223 and 8,450 is: 11,473.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,223 : 8,450 = 8,450 : x
  2. Step 2: Convert to fraction form
    6,223/8,450 = 8,450/x
  3. Step 3: Cross multiply
    6,223x = 8,450 × 8,450
  4. Step 4: Simplify right side
    6,223x = 71,402,500
  5. Step 5: Solve for x
    x = 71,402,500/6,223
  6. Step 6: Final answer
    x = 11,473.97

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.