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Finding the Third Proportional to 963.25 and 1,994.75

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Solution

The third proportional to 963.25 and 1,994.75 is: 4,130.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.25 : 1,994.75 = 1,994.75 : x
  2. Step 2: Convert to fraction form
    963.25/1,994.75 = 1,994.75/x
  3. Step 3: Cross multiply
    963.25x = 1,994.75 × 1,994.75
  4. Step 4: Simplify right side
    963.25x = 3,979,027.56
  5. Step 5: Solve for x
    x = 3,979,027.56/963.25
  6. Step 6: Final answer
    x = 4,130.84

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.