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Finding the Third Proportional to 4,267.69 and 9,373.22

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Solution

The third proportional to 4,267.69 and 9,373.22 is: 20,586.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,267.69 : 9,373.22 = 9,373.22 : x
  2. Step 2: Convert to fraction form
    4,267.69/9,373.22 = 9,373.22/x
  3. Step 3: Cross multiply
    4,267.69x = 9,373.22 × 9,373.22
  4. Step 4: Simplify right side
    4,267.69x = 87,857,229.74
  5. Step 5: Solve for x
    x = 87,857,229.74/4,267.69
  6. Step 6: Final answer
    x = 20,586.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.