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Finding the Third Proportional to 1,743.75 and 3,193.88

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Solution

The third proportional to 1,743.75 and 3,193.88 is: 5,849.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.75 : 3,193.88 = 3,193.88 : x
  2. Step 2: Convert to fraction form
    1,743.75/3,193.88 = 3,193.88/x
  3. Step 3: Cross multiply
    1,743.75x = 3,193.88 × 3,193.88
  4. Step 4: Simplify right side
    1,743.75x = 10,200,837.52
  5. Step 5: Solve for x
    x = 10,200,837.52/1,743.75
  6. Step 6: Final answer
    x = 5,849.94

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These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.