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Finding the Third Proportional to 33,256 and 48,911.50

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Solution

The third proportional to 33,256 and 48,911.50 is: 71,936.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,256 : 48,911.50 = 48,911.50 : x
  2. Step 2: Convert to fraction form
    33,256/48,911.50 = 48,911.50/x
  3. Step 3: Cross multiply
    33,256x = 48,911.50 × 48,911.50
  4. Step 4: Simplify right side
    33,256x = 2,392,334,832.25
  5. Step 5: Solve for x
    x = 2,392,334,832.25/33,256
  6. Step 6: Final answer
    x = 71,936.94

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.