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Finding the Third Proportional to 1,683 and 1,908

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Solution

The third proportional to 1,683 and 1,908 is: 2,163.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683 : 1,908 = 1,908 : x
  2. Step 2: Convert to fraction form
    1,683/1,908 = 1,908/x
  3. Step 3: Cross multiply
    1,683x = 1,908 × 1,908
  4. Step 4: Simplify right side
    1,683x = 3,640,464
  5. Step 5: Solve for x
    x = 3,640,464/1,683
  6. Step 6: Final answer
    x = 2,163.08

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.