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Finding the Third Proportional to 2,864 and 5,806

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Solution

The third proportional to 2,864 and 5,806 is: 11,770.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864 : 5,806 = 5,806 : x
  2. Step 2: Convert to fraction form
    2,864/5,806 = 5,806/x
  3. Step 3: Cross multiply
    2,864x = 5,806 × 5,806
  4. Step 4: Simplify right side
    2,864x = 33,709,636
  5. Step 5: Solve for x
    x = 33,709,636/2,864
  6. Step 6: Final answer
    x = 11,770.12

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.