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Finding the Third Proportional to 33,930 and 46,884

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Solution

The third proportional to 33,930 and 46,884 is: 64,783.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,930 : 46,884 = 46,884 : x
  2. Step 2: Convert to fraction form
    33,930/46,884 = 46,884/x
  3. Step 3: Cross multiply
    33,930x = 46,884 × 46,884
  4. Step 4: Simplify right side
    33,930x = 2,198,109,456
  5. Step 5: Solve for x
    x = 2,198,109,456/33,930
  6. Step 6: Final answer
    x = 64,783.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.