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Finding the Third Proportional to 2,233.31 and 3,976.69

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Solution

The third proportional to 2,233.31 and 3,976.69 is: 7,080.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.31 : 3,976.69 = 3,976.69 : x
  2. Step 2: Convert to fraction form
    2,233.31/3,976.69 = 3,976.69/x
  3. Step 3: Cross multiply
    2,233.31x = 3,976.69 × 3,976.69
  4. Step 4: Simplify right side
    2,233.31x = 15,814,043.47
  5. Step 5: Solve for x
    x = 15,814,043.47/2,233.31
  6. Step 6: Final answer
    x = 7,080.98

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.