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Finding the Third Proportional to 960.75 and 1,941.19

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Solution

The third proportional to 960.75 and 1,941.19 is: 3,922.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.75 : 1,941.19 = 1,941.19 : x
  2. Step 2: Convert to fraction form
    960.75/1,941.19 = 1,941.19/x
  3. Step 3: Cross multiply
    960.75x = 1,941.19 × 1,941.19
  4. Step 4: Simplify right side
    960.75x = 3,768,208.91
  5. Step 5: Solve for x
    x = 3,768,208.91/960.75
  6. Step 6: Final answer
    x = 3,922.15

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.