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Finding the Third Proportional to 4,105.69 and 5,631.19

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Solution

The third proportional to 4,105.69 and 5,631.19 is: 7,723.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105.69 : 5,631.19 = 5,631.19 : x
  2. Step 2: Convert to fraction form
    4,105.69/5,631.19 = 5,631.19/x
  3. Step 3: Cross multiply
    4,105.69x = 5,631.19 × 5,631.19
  4. Step 4: Simplify right side
    4,105.69x = 31,710,272.66
  5. Step 5: Solve for x
    x = 31,710,272.66/4,105.69
  6. Step 6: Final answer
    x = 7,723.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.