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Finding the Third Proportional to 949.85 and 1,995.26

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Solution

The third proportional to 949.85 and 1,995.26 is: 4,191.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.85 : 1,995.26 = 1,995.26 : x
  2. Step 2: Convert to fraction form
    949.85/1,995.26 = 1,995.26/x
  3. Step 3: Cross multiply
    949.85x = 1,995.26 × 1,995.26
  4. Step 4: Simplify right side
    949.85x = 3,981,053.74
  5. Step 5: Solve for x
    x = 3,981,053.74/949.85
  6. Step 6: Final answer
    x = 4,191.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.