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Finding the Third Proportional to 1,721.25 and 2,589.19

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Solution

The third proportional to 1,721.25 and 2,589.19 is: 3,894.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.25 : 2,589.19 = 2,589.19 : x
  2. Step 2: Convert to fraction form
    1,721.25/2,589.19 = 2,589.19/x
  3. Step 3: Cross multiply
    1,721.25x = 2,589.19 × 2,589.19
  4. Step 4: Simplify right side
    1,721.25x = 6,703,891.91
  5. Step 5: Solve for x
    x = 6,703,891.91/1,721.25
  6. Step 6: Final answer
    x = 3,894.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.