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Finding the Third Proportional to 11,922 and 18,205.50

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Solution

The third proportional to 11,922 and 18,205.50 is: 27,800.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,922 : 18,205.50 = 18,205.50 : x
  2. Step 2: Convert to fraction form
    11,922/18,205.50 = 18,205.50/x
  3. Step 3: Cross multiply
    11,922x = 18,205.50 × 18,205.50
  4. Step 4: Simplify right side
    11,922x = 331,440,230.25
  5. Step 5: Solve for x
    x = 331,440,230.25/11,922
  6. Step 6: Final answer
    x = 27,800.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.