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Finding the Third Proportional to 25,979 and 38,999

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Solution

The third proportional to 25,979 and 38,999 is: 58,544.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,979 : 38,999 = 38,999 : x
  2. Step 2: Convert to fraction form
    25,979/38,999 = 38,999/x
  3. Step 3: Cross multiply
    25,979x = 38,999 × 38,999
  4. Step 4: Simplify right side
    25,979x = 1,520,922,001
  5. Step 5: Solve for x
    x = 1,520,922,001/25,979
  6. Step 6: Final answer
    x = 58,544.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.