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Finding the Third Proportional to 1,649 and 3,328

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Solution

The third proportional to 1,649 and 3,328 is: 6,716.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649 : 3,328 = 3,328 : x
  2. Step 2: Convert to fraction form
    1,649/3,328 = 3,328/x
  3. Step 3: Cross multiply
    1,649x = 3,328 × 3,328
  4. Step 4: Simplify right side
    1,649x = 11,075,584
  5. Step 5: Solve for x
    x = 11,075,584/1,649
  6. Step 6: Final answer
    x = 6,716.55

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.