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Finding the Third Proportional to 5,786 and 12,866

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Solution

The third proportional to 5,786 and 12,866 is: 28,609.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786 : 12,866 = 12,866 : x
  2. Step 2: Convert to fraction form
    5,786/12,866 = 12,866/x
  3. Step 3: Cross multiply
    5,786x = 12,866 × 12,866
  4. Step 4: Simplify right side
    5,786x = 165,533,956
  5. Step 5: Solve for x
    x = 165,533,956/5,786
  6. Step 6: Final answer
    x = 28,609.39

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.