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Finding the Third Proportional to 2,003.91 and 2,797.45

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Solution

The third proportional to 2,003.91 and 2,797.45 is: 3,905.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.91 : 2,797.45 = 2,797.45 : x
  2. Step 2: Convert to fraction form
    2,003.91/2,797.45 = 2,797.45/x
  3. Step 3: Cross multiply
    2,003.91x = 2,797.45 × 2,797.45
  4. Step 4: Simplify right side
    2,003.91x = 7,825,743.99
  5. Step 5: Solve for x
    x = 7,825,743.99/2,003.91
  6. Step 6: Final answer
    x = 3,905.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.