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Finding the Third Proportional to 19,884 and 30,450

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Solution

The third proportional to 19,884 and 30,450 is: 46,630.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,884 : 30,450 = 30,450 : x
  2. Step 2: Convert to fraction form
    19,884/30,450 = 30,450/x
  3. Step 3: Cross multiply
    19,884x = 30,450 × 30,450
  4. Step 4: Simplify right side
    19,884x = 927,202,500
  5. Step 5: Solve for x
    x = 927,202,500/19,884
  6. Step 6: Final answer
    x = 46,630.58

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.