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Finding the Third Proportional to 2,743.88 and 3,986.72

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Solution

The third proportional to 2,743.88 and 3,986.72 is: 5,792.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.88 : 3,986.72 = 3,986.72 : x
  2. Step 2: Convert to fraction form
    2,743.88/3,986.72 = 3,986.72/x
  3. Step 3: Cross multiply
    2,743.88x = 3,986.72 × 3,986.72
  4. Step 4: Simplify right side
    2,743.88x = 15,893,926.39
  5. Step 5: Solve for x
    x = 15,893,926.39/2,743.88
  6. Step 6: Final answer
    x = 5,792.51

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.