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Finding the Third Proportional to 19,968 and 43,824

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Solution

The third proportional to 19,968 and 43,824 is: 96,181.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,968 : 43,824 = 43,824 : x
  2. Step 2: Convert to fraction form
    19,968/43,824 = 43,824/x
  3. Step 3: Cross multiply
    19,968x = 43,824 × 43,824
  4. Step 4: Simplify right side
    19,968x = 1,920,542,976
  5. Step 5: Solve for x
    x = 1,920,542,976/19,968
  6. Step 6: Final answer
    x = 96,181.04

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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.