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Finding the Third Proportional to 960.75 and 1,927.69

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Solution

The third proportional to 960.75 and 1,927.69 is: 3,867.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.75 : 1,927.69 = 1,927.69 : x
  2. Step 2: Convert to fraction form
    960.75/1,927.69 = 1,927.69/x
  3. Step 3: Cross multiply
    960.75x = 1,927.69 × 1,927.69
  4. Step 4: Simplify right side
    960.75x = 3,715,979.10
  5. Step 5: Solve for x
    x = 3,715,979.10/960.75
  6. Step 6: Final answer
    x = 3,867.79

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.