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Finding the Third Proportional to 1,469.25 and 3,308.75

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Solution

The third proportional to 1,469.25 and 3,308.75 is: 7,451.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.25 : 3,308.75 = 3,308.75 : x
  2. Step 2: Convert to fraction form
    1,469.25/3,308.75 = 3,308.75/x
  3. Step 3: Cross multiply
    1,469.25x = 3,308.75 × 3,308.75
  4. Step 4: Simplify right side
    1,469.25x = 10,947,826.56
  5. Step 5: Solve for x
    x = 10,947,826.56/1,469.25
  6. Step 6: Final answer
    x = 7,451.30

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.