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Finding the Third Proportional to 1,806.84 and 3,906.04

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Solution

The third proportional to 1,806.84 and 3,906.04 is: 8,444.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.84 : 3,906.04 = 3,906.04 : x
  2. Step 2: Convert to fraction form
    1,806.84/3,906.04 = 3,906.04/x
  3. Step 3: Cross multiply
    1,806.84x = 3,906.04 × 3,906.04
  4. Step 4: Simplify right side
    1,806.84x = 15,257,110.64
  5. Step 5: Solve for x
    x = 15,257,110.64/1,806.84
  6. Step 6: Final answer
    x = 8,444.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.