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Finding the Third Proportional to 2,288.25 and 3,381.75

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Solution

The third proportional to 2,288.25 and 3,381.75 is: 4,997.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.25 : 3,381.75 = 3,381.75 : x
  2. Step 2: Convert to fraction form
    2,288.25/3,381.75 = 3,381.75/x
  3. Step 3: Cross multiply
    2,288.25x = 3,381.75 × 3,381.75
  4. Step 4: Simplify right side
    2,288.25x = 11,436,233.06
  5. Step 5: Solve for x
    x = 11,436,233.06/2,288.25
  6. Step 6: Final answer
    x = 4,997.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.