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Finding the Third Proportional to 11,940.75 and 27,885.94

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Solution

The third proportional to 11,940.75 and 27,885.94 is: 65,123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,940.75 : 27,885.94 = 27,885.94 : x
  2. Step 2: Convert to fraction form
    11,940.75/27,885.94 = 27,885.94/x
  3. Step 3: Cross multiply
    11,940.75x = 27,885.94 × 27,885.94
  4. Step 4: Simplify right side
    11,940.75x = 777,625,510.25
  5. Step 5: Solve for x
    x = 777,625,510.25/11,940.75
  6. Step 6: Final answer
    x = 65,123.67

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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.