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Finding the Third Proportional to 5,733 and 6,273

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Solution

The third proportional to 5,733 and 6,273 is: 6,863.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733 : 6,273 = 6,273 : x
  2. Step 2: Convert to fraction form
    5,733/6,273 = 6,273/x
  3. Step 3: Cross multiply
    5,733x = 6,273 × 6,273
  4. Step 4: Simplify right side
    5,733x = 39,350,529
  5. Step 5: Solve for x
    x = 39,350,529/5,733
  6. Step 6: Final answer
    x = 6,863.86

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.