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Finding the Third Proportional to 11,803.22 and 24,606.28

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Solution

The third proportional to 11,803.22 and 24,606.28 is: 51,296.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,803.22 : 24,606.28 = 24,606.28 : x
  2. Step 2: Convert to fraction form
    11,803.22/24,606.28 = 24,606.28/x
  3. Step 3: Cross multiply
    11,803.22x = 24,606.28 × 24,606.28
  4. Step 4: Simplify right side
    11,803.22x = 605,469,076.95
  5. Step 5: Solve for x
    x = 605,469,076.95/11,803.22
  6. Step 6: Final answer
    x = 51,296.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.