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Finding the Third Proportional to 884.25 and 1,812.75

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Solution

The third proportional to 884.25 and 1,812.75 is: 3,716.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.25 : 1,812.75 = 1,812.75 : x
  2. Step 2: Convert to fraction form
    884.25/1,812.75 = 1,812.75/x
  3. Step 3: Cross multiply
    884.25x = 1,812.75 × 1,812.75
  4. Step 4: Simplify right side
    884.25x = 3,286,062.56
  5. Step 5: Solve for x
    x = 3,286,062.56/884.25
  6. Step 6: Final answer
    x = 3,716.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.