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Finding the Third Proportional to 11,962 and 26,330

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Solution

The third proportional to 11,962 and 26,330 is: 57,955.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,962 : 26,330 = 26,330 : x
  2. Step 2: Convert to fraction form
    11,962/26,330 = 26,330/x
  3. Step 3: Cross multiply
    11,962x = 26,330 × 26,330
  4. Step 4: Simplify right side
    11,962x = 693,268,900
  5. Step 5: Solve for x
    x = 693,268,900/11,962
  6. Step 6: Final answer
    x = 57,955.94

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.