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Finding the Third Proportional to 2,529.25 and 5,521.75

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Solution

The third proportional to 2,529.25 and 5,521.75 is: 12,054.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.25 : 5,521.75 = 5,521.75 : x
  2. Step 2: Convert to fraction form
    2,529.25/5,521.75 = 5,521.75/x
  3. Step 3: Cross multiply
    2,529.25x = 5,521.75 × 5,521.75
  4. Step 4: Simplify right side
    2,529.25x = 30,489,723.06
  5. Step 5: Solve for x
    x = 30,489,723.06/2,529.25
  6. Step 6: Final answer
    x = 12,054.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.