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Finding the Third Proportional to 2,743.89 and 3,032.22

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Solution

The third proportional to 2,743.89 and 3,032.22 is: 3,350.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.89 : 3,032.22 = 3,032.22 : x
  2. Step 2: Convert to fraction form
    2,743.89/3,032.22 = 3,032.22/x
  3. Step 3: Cross multiply
    2,743.89x = 3,032.22 × 3,032.22
  4. Step 4: Simplify right side
    2,743.89x = 9,194,357.95
  5. Step 5: Solve for x
    x = 9,194,357.95/2,743.89
  6. Step 6: Final answer
    x = 3,350.84

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.