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Finding the Third Proportional to 11,247 and 22,879.50

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Solution

The third proportional to 11,247 and 22,879.50 is: 46,543.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,247 : 22,879.50 = 22,879.50 : x
  2. Step 2: Convert to fraction form
    11,247/22,879.50 = 22,879.50/x
  3. Step 3: Cross multiply
    11,247x = 22,879.50 × 22,879.50
  4. Step 4: Simplify right side
    11,247x = 523,471,520.25
  5. Step 5: Solve for x
    x = 523,471,520.25/11,247
  6. Step 6: Final answer
    x = 46,543.21

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.