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Finding the Third Proportional to 1,954 and 2,749

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Solution

The third proportional to 1,954 and 2,749 is: 3,867.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954 : 2,749 = 2,749 : x
  2. Step 2: Convert to fraction form
    1,954/2,749 = 2,749/x
  3. Step 3: Cross multiply
    1,954x = 2,749 × 2,749
  4. Step 4: Simplify right side
    1,954x = 7,557,001
  5. Step 5: Solve for x
    x = 7,557,001/1,954
  6. Step 6: Final answer
    x = 3,867.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.