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Finding the Third Proportional to 960.75 and 2,031.19

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Solution

The third proportional to 960.75 and 2,031.19 is: 4,294.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.75 : 2,031.19 = 2,031.19 : x
  2. Step 2: Convert to fraction form
    960.75/2,031.19 = 2,031.19/x
  3. Step 3: Cross multiply
    960.75x = 2,031.19 × 2,031.19
  4. Step 4: Simplify right side
    960.75x = 4,125,722.66
  5. Step 5: Solve for x
    x = 4,125,722.66/960.75
  6. Step 6: Final answer
    x = 4,294.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.