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Finding the Third Proportional to 1,791.75 and 3,854.63

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Solution

The third proportional to 1,791.75 and 3,854.63 is: 8,292.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791.75 : 3,854.63 = 3,854.63 : x
  2. Step 2: Convert to fraction form
    1,791.75/3,854.63 = 3,854.63/x
  3. Step 3: Cross multiply
    1,791.75x = 3,854.63 × 3,854.63
  4. Step 4: Simplify right side
    1,791.75x = 14,858,133.89
  5. Step 5: Solve for x
    x = 14,858,133.89/1,791.75
  6. Step 6: Final answer
    x = 8,292.53

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.