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Finding the Third Proportional to 1,004.87 and 2,057.79

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Solution

The third proportional to 1,004.87 and 2,057.79 is: 4,213.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.87 : 2,057.79 = 2,057.79 : x
  2. Step 2: Convert to fraction form
    1,004.87/2,057.79 = 2,057.79/x
  3. Step 3: Cross multiply
    1,004.87x = 2,057.79 × 2,057.79
  4. Step 4: Simplify right side
    1,004.87x = 4,234,489.80
  5. Step 5: Solve for x
    x = 4,234,489.80/1,004.87
  6. Step 6: Final answer
    x = 4,213.98

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.