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Finding the Third Proportional to 19,984 and 43,884

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Solution

The third proportional to 19,984 and 43,884 is: 96,367.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,984 : 43,884 = 43,884 : x
  2. Step 2: Convert to fraction form
    19,984/43,884 = 43,884/x
  3. Step 3: Cross multiply
    19,984x = 43,884 × 43,884
  4. Step 4: Simplify right side
    19,984x = 1,925,805,456
  5. Step 5: Solve for x
    x = 1,925,805,456/19,984
  6. Step 6: Final answer
    x = 96,367.37

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.