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Finding the Third Proportional to 1,108.69 and 2,379.38

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Solution

The third proportional to 1,108.69 and 2,379.38 is: 5,106.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.69 : 2,379.38 = 2,379.38 : x
  2. Step 2: Convert to fraction form
    1,108.69/2,379.38 = 2,379.38/x
  3. Step 3: Cross multiply
    1,108.69x = 2,379.38 × 2,379.38
  4. Step 4: Simplify right side
    1,108.69x = 5,661,425.39
  5. Step 5: Solve for x
    x = 5,661,425.39/1,108.69
  6. Step 6: Final answer
    x = 5,106.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.