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Finding the Third Proportional to 2,625 and 3,782.25

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Solution

The third proportional to 2,625 and 3,782.25 is: 5,449.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625 : 3,782.25 = 3,782.25 : x
  2. Step 2: Convert to fraction form
    2,625/3,782.25 = 3,782.25/x
  3. Step 3: Cross multiply
    2,625x = 3,782.25 × 3,782.25
  4. Step 4: Simplify right side
    2,625x = 14,305,415.06
  5. Step 5: Solve for x
    x = 14,305,415.06/2,625
  6. Step 6: Final answer
    x = 5,449.68

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.