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Finding the Third Proportional to 1,675 and 3,395

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Solution

The third proportional to 1,675 and 3,395 is: 6,881.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675 : 3,395 = 3,395 : x
  2. Step 2: Convert to fraction form
    1,675/3,395 = 3,395/x
  3. Step 3: Cross multiply
    1,675x = 3,395 × 3,395
  4. Step 4: Simplify right side
    1,675x = 11,526,025
  5. Step 5: Solve for x
    x = 11,526,025/1,675
  6. Step 6: Final answer
    x = 6,881.21

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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.