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Finding the Third Proportional to 33,290 and 50,616.50

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Solution

The third proportional to 33,290 and 50,616.50 is: 76,960.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,290 : 50,616.50 = 50,616.50 : x
  2. Step 2: Convert to fraction form
    33,290/50,616.50 = 50,616.50/x
  3. Step 3: Cross multiply
    33,290x = 50,616.50 × 50,616.50
  4. Step 4: Simplify right side
    33,290x = 2,562,030,072.25
  5. Step 5: Solve for x
    x = 2,562,030,072.25/33,290
  6. Step 6: Final answer
    x = 76,960.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.