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Finding the Third Proportional to 1,374.44 and 2,796.88

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Solution

The third proportional to 1,374.44 and 2,796.88 is: 5,691.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.44 : 2,796.88 = 2,796.88 : x
  2. Step 2: Convert to fraction form
    1,374.44/2,796.88 = 2,796.88/x
  3. Step 3: Cross multiply
    1,374.44x = 2,796.88 × 2,796.88
  4. Step 4: Simplify right side
    1,374.44x = 7,822,509.77
  5. Step 5: Solve for x
    x = 7,822,509.77/1,374.44
  6. Step 6: Final answer
    x = 5,691.43

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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.