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Finding the Third Proportional to 2,781 and 5,817

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Solution

The third proportional to 2,781 and 5,817 is: 12,167.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781 : 5,817 = 5,817 : x
  2. Step 2: Convert to fraction form
    2,781/5,817 = 5,817/x
  3. Step 3: Cross multiply
    2,781x = 5,817 × 5,817
  4. Step 4: Simplify right side
    2,781x = 33,837,489
  5. Step 5: Solve for x
    x = 33,837,489/2,781
  6. Step 6: Final answer
    x = 12,167.38

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.