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Finding the Third Proportional to 5,400.42 and 7,257.73

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Solution

The third proportional to 5,400.42 and 7,257.73 is: 9,753.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,400.42 : 7,257.73 = 7,257.73 : x
  2. Step 2: Convert to fraction form
    5,400.42/7,257.73 = 7,257.73/x
  3. Step 3: Cross multiply
    5,400.42x = 7,257.73 × 7,257.73
  4. Step 4: Simplify right side
    5,400.42x = 52,674,594.86
  5. Step 5: Solve for x
    x = 52,674,594.86/5,400.42
  6. Step 6: Final answer
    x = 9,753.79

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.