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Finding the Third Proportional to 1,879.93 and 4,091.61

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Solution

The third proportional to 1,879.93 and 4,091.61 is: 8,905.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.93 : 4,091.61 = 4,091.61 : x
  2. Step 2: Convert to fraction form
    1,879.93/4,091.61 = 4,091.61/x
  3. Step 3: Cross multiply
    1,879.93x = 4,091.61 × 4,091.61
  4. Step 4: Simplify right side
    1,879.93x = 16,741,251.29
  5. Step 5: Solve for x
    x = 16,741,251.29/1,879.93
  6. Step 6: Final answer
    x = 8,905.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.