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Finding the Third Proportional to 26,980 and 40,956

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Solution

The third proportional to 26,980 and 40,956 is: 62,171.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,980 : 40,956 = 40,956 : x
  2. Step 2: Convert to fraction form
    26,980/40,956 = 40,956/x
  3. Step 3: Cross multiply
    26,980x = 40,956 × 40,956
  4. Step 4: Simplify right side
    26,980x = 1,677,393,936
  5. Step 5: Solve for x
    x = 1,677,393,936/26,980
  6. Step 6: Final answer
    x = 62,171.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.