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Finding the Third Proportional to 11,924.16 and 25,896.94

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Solution

The third proportional to 11,924.16 and 25,896.94 is: 56,243.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,924.16 : 25,896.94 = 25,896.94 : x
  2. Step 2: Convert to fraction form
    11,924.16/25,896.94 = 25,896.94/x
  3. Step 3: Cross multiply
    11,924.16x = 25,896.94 × 25,896.94
  4. Step 4: Simplify right side
    11,924.16x = 670,651,371.88
  5. Step 5: Solve for x
    x = 670,651,371.88/11,924.16
  6. Step 6: Final answer
    x = 56,243.09

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Why These Related Problems?

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