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Finding the Third Proportional to 1,648 and 3,444

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Solution

The third proportional to 1,648 and 3,444 is: 7,197.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648 : 3,444 = 3,444 : x
  2. Step 2: Convert to fraction form
    1,648/3,444 = 3,444/x
  3. Step 3: Cross multiply
    1,648x = 3,444 × 3,444
  4. Step 4: Simplify right side
    1,648x = 11,861,136
  5. Step 5: Solve for x
    x = 11,861,136/1,648
  6. Step 6: Final answer
    x = 7,197.29

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.