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Finding the Third Proportional to 11,114.75 and 21,204.38

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Solution

The third proportional to 11,114.75 and 21,204.38 is: 40,453.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,114.75 : 21,204.38 = 21,204.38 : x
  2. Step 2: Convert to fraction form
    11,114.75/21,204.38 = 21,204.38/x
  3. Step 3: Cross multiply
    11,114.75x = 21,204.38 × 21,204.38
  4. Step 4: Simplify right side
    11,114.75x = 449,625,519.14
  5. Step 5: Solve for x
    x = 449,625,519.14/11,114.75
  6. Step 6: Final answer
    x = 40,453.05

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.