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Finding the Third Proportional to 11,043.21 and 23,817.80

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Solution

The third proportional to 11,043.21 and 23,817.80 is: 51,369.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,043.21 : 23,817.80 = 23,817.80 : x
  2. Step 2: Convert to fraction form
    11,043.21/23,817.80 = 23,817.80/x
  3. Step 3: Cross multiply
    11,043.21x = 23,817.80 × 23,817.80
  4. Step 4: Simplify right side
    11,043.21x = 567,287,447.98
  5. Step 5: Solve for x
    x = 567,287,447.98/11,043.21
  6. Step 6: Final answer
    x = 51,369.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.