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Finding the Third Proportional to 1,448.44 and 1,994.91

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Solution

The third proportional to 1,448.44 and 1,994.91 is: 2,747.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.44 : 1,994.91 = 1,994.91 : x
  2. Step 2: Convert to fraction form
    1,448.44/1,994.91 = 1,994.91/x
  3. Step 3: Cross multiply
    1,448.44x = 1,994.91 × 1,994.91
  4. Step 4: Simplify right side
    1,448.44x = 3,979,650.95
  5. Step 5: Solve for x
    x = 3,979,650.95/1,448.44
  6. Step 6: Final answer
    x = 2,747.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.