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Finding the Third Proportional to 1,619.25 and 3,474.38

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Solution

The third proportional to 1,619.25 and 3,474.38 is: 7,454.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.25 : 3,474.38 = 3,474.38 : x
  2. Step 2: Convert to fraction form
    1,619.25/3,474.38 = 3,474.38/x
  3. Step 3: Cross multiply
    1,619.25x = 3,474.38 × 3,474.38
  4. Step 4: Simplify right side
    1,619.25x = 12,071,281.64
  5. Step 5: Solve for x
    x = 12,071,281.64/1,619.25
  6. Step 6: Final answer
    x = 7,454.86

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.