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Finding the Third Proportional to 960.75 and 1,996.31

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Solution

The third proportional to 960.75 and 1,996.31 is: 4,148.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.75 : 1,996.31 = 1,996.31 : x
  2. Step 2: Convert to fraction form
    960.75/1,996.31 = 1,996.31/x
  3. Step 3: Cross multiply
    960.75x = 1,996.31 × 1,996.31
  4. Step 4: Simplify right side
    960.75x = 3,985,263.60
  5. Step 5: Solve for x
    x = 3,985,263.60/960.75
  6. Step 6: Final answer
    x = 4,148.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.