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Finding the Third Proportional to 33,465.75 and 51,818.25

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Solution

The third proportional to 33,465.75 and 51,818.25 is: 80,235.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,465.75 : 51,818.25 = 51,818.25 : x
  2. Step 2: Convert to fraction form
    33,465.75/51,818.25 = 51,818.25/x
  3. Step 3: Cross multiply
    33,465.75x = 51,818.25 × 51,818.25
  4. Step 4: Simplify right side
    33,465.75x = 2,685,131,033.06
  5. Step 5: Solve for x
    x = 2,685,131,033.06/33,465.75
  6. Step 6: Final answer
    x = 80,235.20

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.