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Finding the Third Proportional to 1,474.25 and 2,028.81

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Solution

The third proportional to 1,474.25 and 2,028.81 is: 2,791.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.25 : 2,028.81 = 2,028.81 : x
  2. Step 2: Convert to fraction form
    1,474.25/2,028.81 = 2,028.81/x
  3. Step 3: Cross multiply
    1,474.25x = 2,028.81 × 2,028.81
  4. Step 4: Simplify right side
    1,474.25x = 4,116,080.16
  5. Step 5: Solve for x
    x = 4,116,080.16/1,474.25
  6. Step 6: Final answer
    x = 2,791.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.