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Finding the Third Proportional to 11,964 and 27,945

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Solution

The third proportional to 11,964 and 27,945 is: 65,272.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964 : 27,945 = 27,945 : x
  2. Step 2: Convert to fraction form
    11,964/27,945 = 27,945/x
  3. Step 3: Cross multiply
    11,964x = 27,945 × 27,945
  4. Step 4: Simplify right side
    11,964x = 780,923,025
  5. Step 5: Solve for x
    x = 780,923,025/11,964
  6. Step 6: Final answer
    x = 65,272.74

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.