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Finding the Third Proportional to 23,634.94 and 51,694.97

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Solution

The third proportional to 23,634.94 and 51,694.97 is: 113,068.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,634.94 : 51,694.97 = 51,694.97 : x
  2. Step 2: Convert to fraction form
    23,634.94/51,694.97 = 51,694.97/x
  3. Step 3: Cross multiply
    23,634.94x = 51,694.97 × 51,694.97
  4. Step 4: Simplify right side
    23,634.94x = 2,672,369,794.06
  5. Step 5: Solve for x
    x = 2,672,369,794.06/23,634.94
  6. Step 6: Final answer
    x = 113,068.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.