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Finding the Third Proportional to 11,961 and 25,967

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Solution

The third proportional to 11,961 and 25,967 is: 56,373.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,961 : 25,967 = 25,967 : x
  2. Step 2: Convert to fraction form
    11,961/25,967 = 25,967/x
  3. Step 3: Cross multiply
    11,961x = 25,967 × 25,967
  4. Step 4: Simplify right side
    11,961x = 674,285,089
  5. Step 5: Solve for x
    x = 674,285,089/11,961
  6. Step 6: Final answer
    x = 56,373.64

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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.