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Finding the Third Proportional to 2,486 and 5,795

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Solution

The third proportional to 2,486 and 5,795 is: 13,508.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486 : 5,795 = 5,795 : x
  2. Step 2: Convert to fraction form
    2,486/5,795 = 5,795/x
  3. Step 3: Cross multiply
    2,486x = 5,795 × 5,795
  4. Step 4: Simplify right side
    2,486x = 33,582,025
  5. Step 5: Solve for x
    x = 33,582,025/2,486
  6. Step 6: Final answer
    x = 13,508.46

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.