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Finding the Third Proportional to 19,094 and 41,824

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Solution

The third proportional to 19,094 and 41,824 is: 91,612.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,094 : 41,824 = 41,824 : x
  2. Step 2: Convert to fraction form
    19,094/41,824 = 41,824/x
  3. Step 3: Cross multiply
    19,094x = 41,824 × 41,824
  4. Step 4: Simplify right side
    19,094x = 1,749,246,976
  5. Step 5: Solve for x
    x = 1,749,246,976/19,094
  6. Step 6: Final answer
    x = 91,612.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.