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Finding the Third Proportional to 2,732 and 3,992

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Solution

The third proportional to 2,732 and 3,992 is: 5,833.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732 : 3,992 = 3,992 : x
  2. Step 2: Convert to fraction form
    2,732/3,992 = 3,992/x
  3. Step 3: Cross multiply
    2,732x = 3,992 × 3,992
  4. Step 4: Simplify right side
    2,732x = 15,936,064
  5. Step 5: Solve for x
    x = 15,936,064/2,732
  6. Step 6: Final answer
    x = 5,833.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.