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Finding the Third Proportional to 4,064.25 and 5,520.38

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Solution

The third proportional to 4,064.25 and 5,520.38 is: 7,498.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,064.25 : 5,520.38 = 5,520.38 : x
  2. Step 2: Convert to fraction form
    4,064.25/5,520.38 = 5,520.38/x
  3. Step 3: Cross multiply
    4,064.25x = 5,520.38 × 5,520.38
  4. Step 4: Simplify right side
    4,064.25x = 30,474,540.14
  5. Step 5: Solve for x
    x = 30,474,540.14/4,064.25
  6. Step 6: Final answer
    x = 7,498.20

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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.