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Finding the Third Proportional to 1,738 and 4,208

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Solution

The third proportional to 1,738 and 4,208 is: 10,188.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738 : 4,208 = 4,208 : x
  2. Step 2: Convert to fraction form
    1,738/4,208 = 4,208/x
  3. Step 3: Cross multiply
    1,738x = 4,208 × 4,208
  4. Step 4: Simplify right side
    1,738x = 17,707,264
  5. Step 5: Solve for x
    x = 17,707,264/1,738
  6. Step 6: Final answer
    x = 10,188.30

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.