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Finding the Third Proportional to 20,322 and 43,884

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Solution

The third proportional to 20,322 and 43,884 is: 94,764.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,322 : 43,884 = 43,884 : x
  2. Step 2: Convert to fraction form
    20,322/43,884 = 43,884/x
  3. Step 3: Cross multiply
    20,322x = 43,884 × 43,884
  4. Step 4: Simplify right side
    20,322x = 1,925,805,456
  5. Step 5: Solve for x
    x = 1,925,805,456/20,322
  6. Step 6: Final answer
    x = 94,764.56

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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.