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Finding the Third Proportional to 1,626.75 and 3,617.44

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Solution

The third proportional to 1,626.75 and 3,617.44 is: 8,044.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.75 : 3,617.44 = 3,617.44 : x
  2. Step 2: Convert to fraction form
    1,626.75/3,617.44 = 3,617.44/x
  3. Step 3: Cross multiply
    1,626.75x = 3,617.44 × 3,617.44
  4. Step 4: Simplify right side
    1,626.75x = 13,085,854.07
  5. Step 5: Solve for x
    x = 13,085,854.07/1,626.75
  6. Step 6: Final answer
    x = 8,044.17

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.