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Finding the Third Proportional to 4,105.69 and 9,031.69

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Solution

The third proportional to 4,105.69 and 9,031.69 is: 19,867.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105.69 : 9,031.69 = 9,031.69 : x
  2. Step 2: Convert to fraction form
    4,105.69/9,031.69 = 9,031.69/x
  3. Step 3: Cross multiply
    4,105.69x = 9,031.69 × 9,031.69
  4. Step 4: Simplify right side
    4,105.69x = 81,571,379.10
  5. Step 5: Solve for x
    x = 81,571,379.10/4,105.69
  6. Step 6: Final answer
    x = 19,867.90

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