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Finding the Third Proportional to 20,198.25 and 43,623

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Solution

The third proportional to 20,198.25 and 43,623 is: 94,214.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198.25 : 43,623 = 43,623 : x
  2. Step 2: Convert to fraction form
    20,198.25/43,623 = 43,623/x
  3. Step 3: Cross multiply
    20,198.25x = 43,623 × 43,623
  4. Step 4: Simplify right side
    20,198.25x = 1,902,966,129
  5. Step 5: Solve for x
    x = 1,902,966,129/20,198.25
  6. Step 6: Final answer
    x = 94,214.41

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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.