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Finding the Third Proportional to 2,694.94 and 5,715.97

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Solution

The third proportional to 2,694.94 and 5,715.97 is: 12,123.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.94 : 5,715.97 = 5,715.97 : x
  2. Step 2: Convert to fraction form
    2,694.94/5,715.97 = 5,715.97/x
  3. Step 3: Cross multiply
    2,694.94x = 5,715.97 × 5,715.97
  4. Step 4: Simplify right side
    2,694.94x = 32,672,298.75
  5. Step 5: Solve for x
    x = 32,672,298.75/2,694.94
  6. Step 6: Final answer
    x = 12,123.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.