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Finding the Third Proportional to 11,219.77 and 23,939.30

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Solution

The third proportional to 11,219.77 and 23,939.30 is: 51,078.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,219.77 : 23,939.30 = 23,939.30 : x
  2. Step 2: Convert to fraction form
    11,219.77/23,939.30 = 23,939.30/x
  3. Step 3: Cross multiply
    11,219.77x = 23,939.30 × 23,939.30
  4. Step 4: Simplify right side
    11,219.77x = 573,089,934.87
  5. Step 5: Solve for x
    x = 573,089,934.87/11,219.77
  6. Step 6: Final answer
    x = 51,078.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.