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Finding the Third Proportional to 20,197.75 and 43,621.75

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Solution

The third proportional to 20,197.75 and 43,621.75 is: 94,211.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,197.75 : 43,621.75 = 43,621.75 : x
  2. Step 2: Convert to fraction form
    20,197.75/43,621.75 = 43,621.75/x
  3. Step 3: Cross multiply
    20,197.75x = 43,621.75 × 43,621.75
  4. Step 4: Simplify right side
    20,197.75x = 1,902,857,073.06
  5. Step 5: Solve for x
    x = 1,902,857,073.06/20,197.75
  6. Step 6: Final answer
    x = 94,211.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.