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Finding the Third Proportional to 33,261 and 48,917.75

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Solution

The third proportional to 33,261 and 48,917.75 is: 71,944.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,261 : 48,917.75 = 48,917.75 : x
  2. Step 2: Convert to fraction form
    33,261/48,917.75 = 48,917.75/x
  3. Step 3: Cross multiply
    33,261x = 48,917.75 × 48,917.75
  4. Step 4: Simplify right side
    33,261x = 2,392,946,265.06
  5. Step 5: Solve for x
    x = 2,392,946,265.06/33,261
  6. Step 6: Final answer
    x = 71,944.51

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Why These Related Problems?

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