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Finding the Third Proportional to 2,058 and 4,194

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Solution

The third proportional to 2,058 and 4,194 is: 8,546.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058 : 4,194 = 4,194 : x
  2. Step 2: Convert to fraction form
    2,058/4,194 = 4,194/x
  3. Step 3: Cross multiply
    2,058x = 4,194 × 4,194
  4. Step 4: Simplify right side
    2,058x = 17,589,636
  5. Step 5: Solve for x
    x = 17,589,636/2,058
  6. Step 6: Final answer
    x = 8,546.96

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.