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Finding the Third Proportional to 5,197.50 and 6,743.25

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Solution

The third proportional to 5,197.50 and 6,743.25 is: 8,748.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.50 : 6,743.25 = 6,743.25 : x
  2. Step 2: Convert to fraction form
    5,197.50/6,743.25 = 6,743.25/x
  3. Step 3: Cross multiply
    5,197.50x = 6,743.25 × 6,743.25
  4. Step 4: Simplify right side
    5,197.50x = 45,471,420.56
  5. Step 5: Solve for x
    x = 45,471,420.56/5,197.50
  6. Step 6: Final answer
    x = 8,748.71

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.