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Finding the Third Proportional to 4,800.94 and 11,121.47

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Solution

The third proportional to 4,800.94 and 11,121.47 is: 25,763.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,800.94 : 11,121.47 = 11,121.47 : x
  2. Step 2: Convert to fraction form
    4,800.94/11,121.47 = 11,121.47/x
  3. Step 3: Cross multiply
    4,800.94x = 11,121.47 × 11,121.47
  4. Step 4: Simplify right side
    4,800.94x = 123,687,067.16
  5. Step 5: Solve for x
    x = 123,687,067.16/4,800.94
  6. Step 6: Final answer
    x = 25,763.11

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.