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Finding the Third Proportional to 1,981.97 and 3,512.11

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Solution

The third proportional to 1,981.97 and 3,512.11 is: 6,223.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.97 : 3,512.11 = 3,512.11 : x
  2. Step 2: Convert to fraction form
    1,981.97/3,512.11 = 3,512.11/x
  3. Step 3: Cross multiply
    1,981.97x = 3,512.11 × 3,512.11
  4. Step 4: Simplify right side
    1,981.97x = 12,334,912.26
  5. Step 5: Solve for x
    x = 12,334,912.26/1,981.97
  6. Step 6: Final answer
    x = 6,223.57

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.