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Finding the Third Proportional to 2,786.43 and 4,080.69

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Solution

The third proportional to 2,786.43 and 4,080.69 is: 5,976.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.43 : 4,080.69 = 4,080.69 : x
  2. Step 2: Convert to fraction form
    2,786.43/4,080.69 = 4,080.69/x
  3. Step 3: Cross multiply
    2,786.43x = 4,080.69 × 4,080.69
  4. Step 4: Simplify right side
    2,786.43x = 16,652,042.35
  5. Step 5: Solve for x
    x = 16,652,042.35/2,786.43
  6. Step 6: Final answer
    x = 5,976.12

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.