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Finding the Third Proportional to 1,844 and 3,999

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Solution

The third proportional to 1,844 and 3,999 is: 8,672.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844 : 3,999 = 3,999 : x
  2. Step 2: Convert to fraction form
    1,844/3,999 = 3,999/x
  3. Step 3: Cross multiply
    1,844x = 3,999 × 3,999
  4. Step 4: Simplify right side
    1,844x = 15,992,001
  5. Step 5: Solve for x
    x = 15,992,001/1,844
  6. Step 6: Final answer
    x = 8,672.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.