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Finding the Third Proportional to 1,629.25 and 3,571.25

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Solution

The third proportional to 1,629.25 and 3,571.25 is: 7,828.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.25 : 3,571.25 = 3,571.25 : x
  2. Step 2: Convert to fraction form
    1,629.25/3,571.25 = 3,571.25/x
  3. Step 3: Cross multiply
    1,629.25x = 3,571.25 × 3,571.25
  4. Step 4: Simplify right side
    1,629.25x = 12,753,826.56
  5. Step 5: Solve for x
    x = 12,753,826.56/1,629.25
  6. Step 6: Final answer
    x = 7,828.04

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.