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Finding the Third Proportional to 1,598 and 3,241

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Solution

The third proportional to 1,598 and 3,241 is: 6,573.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598 : 3,241 = 3,241 : x
  2. Step 2: Convert to fraction form
    1,598/3,241 = 3,241/x
  3. Step 3: Cross multiply
    1,598x = 3,241 × 3,241
  4. Step 4: Simplify right side
    1,598x = 10,504,081
  5. Step 5: Solve for x
    x = 10,504,081/1,598
  6. Step 6: Final answer
    x = 6,573.27

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.