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Finding the Third Proportional to 33,702.75 and 51,576.75

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Solution

The third proportional to 33,702.75 and 51,576.75 is: 78,930.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,702.75 : 51,576.75 = 51,576.75 : x
  2. Step 2: Convert to fraction form
    33,702.75/51,576.75 = 51,576.75/x
  3. Step 3: Cross multiply
    33,702.75x = 51,576.75 × 51,576.75
  4. Step 4: Simplify right side
    33,702.75x = 2,660,161,140.56
  5. Step 5: Solve for x
    x = 2,660,161,140.56/33,702.75
  6. Step 6: Final answer
    x = 78,930.09

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.