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Finding the Third Proportional to 20,097 and 30,080.25

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Solution

The third proportional to 20,097 and 30,080.25 is: 45,022.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,097 : 30,080.25 = 30,080.25 : x
  2. Step 2: Convert to fraction form
    20,097/30,080.25 = 30,080.25/x
  3. Step 3: Cross multiply
    20,097x = 30,080.25 × 30,080.25
  4. Step 4: Simplify right side
    20,097x = 904,821,440.06
  5. Step 5: Solve for x
    x = 904,821,440.06/20,097
  6. Step 6: Final answer
    x = 45,022.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.