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Finding the Third Proportional to 1,981.97 and 3,395.67

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Solution

The third proportional to 1,981.97 and 3,395.67 is: 5,817.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.97 : 3,395.67 = 3,395.67 : x
  2. Step 2: Convert to fraction form
    1,981.97/3,395.67 = 3,395.67/x
  3. Step 3: Cross multiply
    1,981.97x = 3,395.67 × 3,395.67
  4. Step 4: Simplify right side
    1,981.97x = 11,530,587.48
  5. Step 5: Solve for x
    x = 11,530,587.48/1,981.97
  6. Step 6: Final answer
    x = 5,817.74

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.