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Finding the Third Proportional to 25,992 and 41,859

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Solution

The third proportional to 25,992 and 41,859 is: 67,412.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,992 : 41,859 = 41,859 : x
  2. Step 2: Convert to fraction form
    25,992/41,859 = 41,859/x
  3. Step 3: Cross multiply
    25,992x = 41,859 × 41,859
  4. Step 4: Simplify right side
    25,992x = 1,752,175,881
  5. Step 5: Solve for x
    x = 1,752,175,881/25,992
  6. Step 6: Final answer
    x = 67,412.12

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.