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Finding the Third Proportional to 11,694.38 and 25,849.13

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Solution

The third proportional to 11,694.38 and 25,849.13 is: 57,136.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,694.38 : 25,849.13 = 25,849.13 : x
  2. Step 2: Convert to fraction form
    11,694.38/25,849.13 = 25,849.13/x
  3. Step 3: Cross multiply
    11,694.38x = 25,849.13 × 25,849.13
  4. Step 4: Simplify right side
    11,694.38x = 668,177,263.27
  5. Step 5: Solve for x
    x = 668,177,263.27/11,694.38
  6. Step 6: Final answer
    x = 57,136.64

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.