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Finding the Third Proportional to 855.75 and 1,469.44

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Solution

The third proportional to 855.75 and 1,469.44 is: 2,523.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.75 : 1,469.44 = 1,469.44 : x
  2. Step 2: Convert to fraction form
    855.75/1,469.44 = 1,469.44/x
  3. Step 3: Cross multiply
    855.75x = 1,469.44 × 1,469.44
  4. Step 4: Simplify right side
    855.75x = 2,159,246.57
  5. Step 5: Solve for x
    x = 2,159,246.57/855.75
  6. Step 6: Final answer
    x = 2,523.22

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.