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Finding the Third Proportional to 7,195.08 and 9,469.41

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Solution

The third proportional to 7,195.08 and 9,469.41 is: 12,462.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,195.08 : 9,469.41 = 9,469.41 : x
  2. Step 2: Convert to fraction form
    7,195.08/9,469.41 = 9,469.41/x
  3. Step 3: Cross multiply
    7,195.08x = 9,469.41 × 9,469.41
  4. Step 4: Simplify right side
    7,195.08x = 89,669,654.73
  5. Step 5: Solve for x
    x = 89,669,654.73/7,195.08
  6. Step 6: Final answer
    x = 12,462.64

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.