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Finding the Third Proportional to 2,073.94 and 3,211.31

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Solution

The third proportional to 2,073.94 and 3,211.31 is: 4,972.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.94 : 3,211.31 = 3,211.31 : x
  2. Step 2: Convert to fraction form
    2,073.94/3,211.31 = 3,211.31/x
  3. Step 3: Cross multiply
    2,073.94x = 3,211.31 × 3,211.31
  4. Step 4: Simplify right side
    2,073.94x = 10,312,527.97
  5. Step 5: Solve for x
    x = 10,312,527.97/2,073.94
  6. Step 6: Final answer
    x = 4,972.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.