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Finding the Third Proportional to 33,065.56 and 49,673.09

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Solution

The third proportional to 33,065.56 and 49,673.09 is: 74,621.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,065.56 : 49,673.09 = 49,673.09 : x
  2. Step 2: Convert to fraction form
    33,065.56/49,673.09 = 49,673.09/x
  3. Step 3: Cross multiply
    33,065.56x = 49,673.09 × 49,673.09
  4. Step 4: Simplify right side
    33,065.56x = 2,467,416,048.66
  5. Step 5: Solve for x
    x = 2,467,416,048.66/33,065.56
  6. Step 6: Final answer
    x = 74,621.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.