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Finding the Third Proportional to 1,392.25 and 3,027.75

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Solution

The third proportional to 1,392.25 and 3,027.75 is: 6,584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.25 : 3,027.75 = 3,027.75 : x
  2. Step 2: Convert to fraction form
    1,392.25/3,027.75 = 3,027.75/x
  3. Step 3: Cross multiply
    1,392.25x = 3,027.75 × 3,027.75
  4. Step 4: Simplify right side
    1,392.25x = 9,167,270.06
  5. Step 5: Solve for x
    x = 9,167,270.06/1,392.25
  6. Step 6: Final answer
    x = 6,584.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.