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Finding the Third Proportional to 33,009.19 and 49,671.84

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Solution

The third proportional to 33,009.19 and 49,671.84 is: 74,745.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,009.19 : 49,671.84 = 49,671.84 : x
  2. Step 2: Convert to fraction form
    33,009.19/49,671.84 = 49,671.84/x
  3. Step 3: Cross multiply
    33,009.19x = 49,671.84 × 49,671.84
  4. Step 4: Simplify right side
    33,009.19x = 2,467,292,061.52
  5. Step 5: Solve for x
    x = 2,467,292,061.52/33,009.19
  6. Step 6: Final answer
    x = 74,745.62

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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.