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Finding the Third Proportional to 11,836.13 and 27,696.94

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Solution

The third proportional to 11,836.13 and 27,696.94 is: 64,811.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,836.13 : 27,696.94 = 27,696.94 : x
  2. Step 2: Convert to fraction form
    11,836.13/27,696.94 = 27,696.94/x
  3. Step 3: Cross multiply
    11,836.13x = 27,696.94 × 27,696.94
  4. Step 4: Simplify right side
    11,836.13x = 767,120,346.88
  5. Step 5: Solve for x
    x = 767,120,346.88/11,836.13
  6. Step 6: Final answer
    x = 64,811.78

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