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Finding the Third Proportional to 1,743.24 and 2,691.75

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Solution

The third proportional to 1,743.24 and 2,691.75 is: 4,156.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.24 : 2,691.75 = 2,691.75 : x
  2. Step 2: Convert to fraction form
    1,743.24/2,691.75 = 2,691.75/x
  3. Step 3: Cross multiply
    1,743.24x = 2,691.75 × 2,691.75
  4. Step 4: Simplify right side
    1,743.24x = 7,245,502.29
  5. Step 5: Solve for x
    x = 7,245,502.29/1,743.24
  6. Step 6: Final answer
    x = 4,156.34

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.