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Finding the Third Proportional to 2,057.91 and 3,273.86

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Solution

The third proportional to 2,057.91 and 3,273.86 is: 5,208.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.91 : 3,273.86 = 3,273.86 : x
  2. Step 2: Convert to fraction form
    2,057.91/3,273.86 = 3,273.86/x
  3. Step 3: Cross multiply
    2,057.91x = 3,273.86 × 3,273.86
  4. Step 4: Simplify right side
    2,057.91x = 10,718,129.63
  5. Step 5: Solve for x
    x = 10,718,129.63/2,057.91
  6. Step 6: Final answer
    x = 5,208.27

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.