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Finding the Third Proportional to 804 and 2,186

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Solution

The third proportional to 804 and 2,186 is: 5,943.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    804 : 2,186 = 2,186 : x
  2. Step 2: Convert to fraction form
    804/2,186 = 2,186/x
  3. Step 3: Cross multiply
    804x = 2,186 × 2,186
  4. Step 4: Simplify right side
    804x = 4,778,596
  5. Step 5: Solve for x
    x = 4,778,596/804
  6. Step 6: Final answer
    x = 5,943.53

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.