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Finding the Third Proportional to 11,055.94 and 23,136.75

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Solution

The third proportional to 11,055.94 and 23,136.75 is: 48,418.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,055.94 : 23,136.75 = 23,136.75 : x
  2. Step 2: Convert to fraction form
    11,055.94/23,136.75 = 23,136.75/x
  3. Step 3: Cross multiply
    11,055.94x = 23,136.75 × 23,136.75
  4. Step 4: Simplify right side
    11,055.94x = 535,309,200.56
  5. Step 5: Solve for x
    x = 535,309,200.56/11,055.94
  6. Step 6: Final answer
    x = 48,418.25

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.