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Finding the Third Proportional to 5,733 and 6,198.75

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Solution

The third proportional to 5,733 and 6,198.75 is: 6,702.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733 : 6,198.75 = 6,198.75 : x
  2. Step 2: Convert to fraction form
    5,733/6,198.75 = 6,198.75/x
  3. Step 3: Cross multiply
    5,733x = 6,198.75 × 6,198.75
  4. Step 4: Simplify right side
    5,733x = 38,424,501.56
  5. Step 5: Solve for x
    x = 38,424,501.56/5,733
  6. Step 6: Final answer
    x = 6,702.34

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.