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Finding the Third Proportional to 7,662.09 and 9,404.86

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Solution

The third proportional to 7,662.09 and 9,404.86 is: 11,544.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.09 : 9,404.86 = 9,404.86 : x
  2. Step 2: Convert to fraction form
    7,662.09/9,404.86 = 9,404.86/x
  3. Step 3: Cross multiply
    7,662.09x = 9,404.86 × 9,404.86
  4. Step 4: Simplify right side
    7,662.09x = 88,451,379.86
  5. Step 5: Solve for x
    x = 88,451,379.86/7,662.09
  6. Step 6: Final answer
    x = 11,544.02

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.