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Finding the Third Proportional to 1,214.25 and 2,626.75

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Solution

The third proportional to 1,214.25 and 2,626.75 is: 5,682.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.25 : 2,626.75 = 2,626.75 : x
  2. Step 2: Convert to fraction form
    1,214.25/2,626.75 = 2,626.75/x
  3. Step 3: Cross multiply
    1,214.25x = 2,626.75 × 2,626.75
  4. Step 4: Simplify right side
    1,214.25x = 6,899,815.56
  5. Step 5: Solve for x
    x = 6,899,815.56/1,214.25
  6. Step 6: Final answer
    x = 5,682.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.