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Finding the Third Proportional to 5,227.03 and 7,840.55

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Solution

The third proportional to 5,227.03 and 7,840.55 is: 11,760.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.03 : 7,840.55 = 7,840.55 : x
  2. Step 2: Convert to fraction form
    5,227.03/7,840.55 = 7,840.55/x
  3. Step 3: Cross multiply
    5,227.03x = 7,840.55 × 7,840.55
  4. Step 4: Simplify right side
    5,227.03x = 61,474,175.30
  5. Step 5: Solve for x
    x = 61,474,175.30/5,227.03
  6. Step 6: Final answer
    x = 11,760.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.