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Finding the Third Proportional to 1,738 and 3,997

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Solution

The third proportional to 1,738 and 3,997 is: 9,192.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738 : 3,997 = 3,997 : x
  2. Step 2: Convert to fraction form
    1,738/3,997 = 3,997/x
  3. Step 3: Cross multiply
    1,738x = 3,997 × 3,997
  4. Step 4: Simplify right side
    1,738x = 15,976,009
  5. Step 5: Solve for x
    x = 15,976,009/1,738
  6. Step 6: Final answer
    x = 9,192.18

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.