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Finding the Third Proportional to 1,004.91 and 2,040.19

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Solution

The third proportional to 1,004.91 and 2,040.19 is: 4,142.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.91 : 2,040.19 = 2,040.19 : x
  2. Step 2: Convert to fraction form
    1,004.91/2,040.19 = 2,040.19/x
  3. Step 3: Cross multiply
    1,004.91x = 2,040.19 × 2,040.19
  4. Step 4: Simplify right side
    1,004.91x = 4,162,365.04
  5. Step 5: Solve for x
    x = 4,162,365.04/1,004.91
  6. Step 6: Final answer
    x = 4,142.04

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.