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Finding the Third Proportional to 806 and 2,177

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Solution

The third proportional to 806 and 2,177 is: 5,880.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    806 : 2,177 = 2,177 : x
  2. Step 2: Convert to fraction form
    806/2,177 = 2,177/x
  3. Step 3: Cross multiply
    806x = 2,177 × 2,177
  4. Step 4: Simplify right side
    806x = 4,739,329
  5. Step 5: Solve for x
    x = 4,739,329/806
  6. Step 6: Final answer
    x = 5,880.06

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.