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Finding the Third Proportional to 4,166.44 and 8,857.69

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Solution

The third proportional to 4,166.44 and 8,857.69 is: 18,831.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.44 : 8,857.69 = 8,857.69 : x
  2. Step 2: Convert to fraction form
    4,166.44/8,857.69 = 8,857.69/x
  3. Step 3: Cross multiply
    4,166.44x = 8,857.69 × 8,857.69
  4. Step 4: Simplify right side
    4,166.44x = 78,458,627.85
  5. Step 5: Solve for x
    x = 78,458,627.85/4,166.44
  6. Step 6: Final answer
    x = 18,831.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.