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Finding the Third Proportional to 20,198.50 and 43,205

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Solution

The third proportional to 20,198.50 and 43,205 is: 92,416.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198.50 : 43,205 = 43,205 : x
  2. Step 2: Convert to fraction form
    20,198.50/43,205 = 43,205/x
  3. Step 3: Cross multiply
    20,198.50x = 43,205 × 43,205
  4. Step 4: Simplify right side
    20,198.50x = 1,866,672,025
  5. Step 5: Solve for x
    x = 1,866,672,025/20,198.50
  6. Step 6: Final answer
    x = 92,416.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.