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Finding the Third Proportional to 33,944.06 and 51,480.56

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Solution

The third proportional to 33,944.06 and 51,480.56 is: 78,076.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,944.06 : 51,480.56 = 51,480.56 : x
  2. Step 2: Convert to fraction form
    33,944.06/51,480.56 = 51,480.56/x
  3. Step 3: Cross multiply
    33,944.06x = 51,480.56 × 51,480.56
  4. Step 4: Simplify right side
    33,944.06x = 2,650,248,315.32
  5. Step 5: Solve for x
    x = 2,650,248,315.32/33,944.06
  6. Step 6: Final answer
    x = 78,076.93

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.