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Finding the Third Proportional to 1,806.84 and 3,195.07

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Solution

The third proportional to 1,806.84 and 3,195.07 is: 5,649.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.84 : 3,195.07 = 3,195.07 : x
  2. Step 2: Convert to fraction form
    1,806.84/3,195.07 = 3,195.07/x
  3. Step 3: Cross multiply
    1,806.84x = 3,195.07 × 3,195.07
  4. Step 4: Simplify right side
    1,806.84x = 10,208,474.30
  5. Step 5: Solve for x
    x = 10,208,474.30/1,806.84
  6. Step 6: Final answer
    x = 5,649.91

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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.