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Finding the Third Proportional to 11,314.69 and 24,902.44

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Solution

The third proportional to 11,314.69 and 24,902.44 is: 54,807.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.69 : 24,902.44 = 24,902.44 : x
  2. Step 2: Convert to fraction form
    11,314.69/24,902.44 = 24,902.44/x
  3. Step 3: Cross multiply
    11,314.69x = 24,902.44 × 24,902.44
  4. Step 4: Simplify right side
    11,314.69x = 620,131,393.44
  5. Step 5: Solve for x
    x = 620,131,393.44/11,314.69
  6. Step 6: Final answer
    x = 54,807.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.