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Finding the Third Proportional to 1,791.42 and 2,714.18

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Solution

The third proportional to 1,791.42 and 2,714.18 is: 4,112.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791.42 : 2,714.18 = 2,714.18 : x
  2. Step 2: Convert to fraction form
    1,791.42/2,714.18 = 2,714.18/x
  3. Step 3: Cross multiply
    1,791.42x = 2,714.18 × 2,714.18
  4. Step 4: Simplify right side
    1,791.42x = 7,366,771.38
  5. Step 5: Solve for x
    x = 7,366,771.38/1,791.42
  6. Step 6: Final answer
    x = 4,112.25

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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.