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Finding the Third Proportional to 4,613.20 and 7,227.35

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Solution

The third proportional to 4,613.20 and 7,227.35 is: 11,322.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,613.20 : 7,227.35 = 7,227.35 : x
  2. Step 2: Convert to fraction form
    4,613.20/7,227.35 = 7,227.35/x
  3. Step 3: Cross multiply
    4,613.20x = 7,227.35 × 7,227.35
  4. Step 4: Simplify right side
    4,613.20x = 52,234,610.61
  5. Step 5: Solve for x
    x = 52,234,610.61/4,613.20
  6. Step 6: Final answer
    x = 11,322.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.