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Finding the Third Proportional to 20,841 and 48,205.50

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Solution

The third proportional to 20,841 and 48,205.50 is: 111,499.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,841 : 48,205.50 = 48,205.50 : x
  2. Step 2: Convert to fraction form
    20,841/48,205.50 = 48,205.50/x
  3. Step 3: Cross multiply
    20,841x = 48,205.50 × 48,205.50
  4. Step 4: Simplify right side
    20,841x = 2,323,770,230.25
  5. Step 5: Solve for x
    x = 2,323,770,230.25/20,841
  6. Step 6: Final answer
    x = 111,499.94

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.