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Finding the Third Proportional to 1,968.05 and 2,760.33

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Solution

The third proportional to 1,968.05 and 2,760.33 is: 3,871.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.05 : 2,760.33 = 2,760.33 : x
  2. Step 2: Convert to fraction form
    1,968.05/2,760.33 = 2,760.33/x
  3. Step 3: Cross multiply
    1,968.05x = 2,760.33 × 2,760.33
  4. Step 4: Simplify right side
    1,968.05x = 7,619,411.36
  5. Step 5: Solve for x
    x = 7,619,411.36/1,968.05
  6. Step 6: Final answer
    x = 3,871.56

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.