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Finding the Third Proportional to 33,521.06 and 49,701.56

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Solution

The third proportional to 33,521.06 and 49,701.56 is: 73,692.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,521.06 : 49,701.56 = 49,701.56 : x
  2. Step 2: Convert to fraction form
    33,521.06/49,701.56 = 49,701.56/x
  3. Step 3: Cross multiply
    33,521.06x = 49,701.56 × 49,701.56
  4. Step 4: Simplify right side
    33,521.06x = 2,470,245,314.94
  5. Step 5: Solve for x
    x = 2,470,245,314.94/33,521.06
  6. Step 6: Final answer
    x = 73,692.33

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.