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Finding the Third Proportional to 33,171 and 48,777.75

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Solution

The third proportional to 33,171 and 48,777.75 is: 71,727.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,171 : 48,777.75 = 48,777.75 : x
  2. Step 2: Convert to fraction form
    33,171/48,777.75 = 48,777.75/x
  3. Step 3: Cross multiply
    33,171x = 48,777.75 × 48,777.75
  4. Step 4: Simplify right side
    33,171x = 2,379,268,895.06
  5. Step 5: Solve for x
    x = 2,379,268,895.06/33,171
  6. Step 6: Final answer
    x = 71,727.38

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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.