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Finding the Third Proportional to 33,576.19 and 52,408.69

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Solution

The third proportional to 33,576.19 and 52,408.69 is: 81,804.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,576.19 : 52,408.69 = 52,408.69 : x
  2. Step 2: Convert to fraction form
    33,576.19/52,408.69 = 52,408.69/x
  3. Step 3: Cross multiply
    33,576.19x = 52,408.69 × 52,408.69
  4. Step 4: Simplify right side
    33,576.19x = 2,746,670,525.47
  5. Step 5: Solve for x
    x = 2,746,670,525.47/33,576.19
  6. Step 6: Final answer
    x = 81,804.12

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.