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Finding the Third Proportional to 11,923.31 and 25,896.94

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Solution

The third proportional to 11,923.31 and 25,896.94 is: 56,247.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,923.31 : 25,896.94 = 25,896.94 : x
  2. Step 2: Convert to fraction form
    11,923.31/25,896.94 = 25,896.94/x
  3. Step 3: Cross multiply
    11,923.31x = 25,896.94 × 25,896.94
  4. Step 4: Simplify right side
    11,923.31x = 670,651,371.88
  5. Step 5: Solve for x
    x = 670,651,371.88/11,923.31
  6. Step 6: Final answer
    x = 56,247.07

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.