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Finding the Third Proportional to 1,791.88 and 2,714.75

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Solution

The third proportional to 1,791.88 and 2,714.75 is: 4,112.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791.88 : 2,714.75 = 2,714.75 : x
  2. Step 2: Convert to fraction form
    1,791.88/2,714.75 = 2,714.75/x
  3. Step 3: Cross multiply
    1,791.88x = 2,714.75 × 2,714.75
  4. Step 4: Simplify right side
    1,791.88x = 7,369,867.56
  5. Step 5: Solve for x
    x = 7,369,867.56/1,791.88
  6. Step 6: Final answer
    x = 4,112.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.