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Finding the Third Proportional to 2,971.69 and 3,194.44

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Solution

The third proportional to 2,971.69 and 3,194.44 is: 3,433.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.69 : 3,194.44 = 3,194.44 : x
  2. Step 2: Convert to fraction form
    2,971.69/3,194.44 = 3,194.44/x
  3. Step 3: Cross multiply
    2,971.69x = 3,194.44 × 3,194.44
  4. Step 4: Simplify right side
    2,971.69x = 10,204,430.94
  5. Step 5: Solve for x
    x = 10,204,430.94/2,971.69
  6. Step 6: Final answer
    x = 3,433.88

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.