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Finding the Third Proportional to 20,974.50 and 41,933.25

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Solution

The third proportional to 20,974.50 and 41,933.25 is: 83,835.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,974.50 : 41,933.25 = 41,933.25 : x
  2. Step 2: Convert to fraction form
    20,974.50/41,933.25 = 41,933.25/x
  3. Step 3: Cross multiply
    20,974.50x = 41,933.25 × 41,933.25
  4. Step 4: Simplify right side
    20,974.50x = 1,758,397,455.56
  5. Step 5: Solve for x
    x = 1,758,397,455.56/20,974.50
  6. Step 6: Final answer
    x = 83,835.01

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.