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Finding the Third Proportional to 960.19 and 1,972.69

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Solution

The third proportional to 960.19 and 1,972.69 is: 4,052.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.19 : 1,972.69 = 1,972.69 : x
  2. Step 2: Convert to fraction form
    960.19/1,972.69 = 1,972.69/x
  3. Step 3: Cross multiply
    960.19x = 1,972.69 × 1,972.69
  4. Step 4: Simplify right side
    960.19x = 3,891,495.97
  5. Step 5: Solve for x
    x = 3,891,495.97/960.19
  6. Step 6: Final answer
    x = 4,052.85

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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.