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Finding the Third Proportional to 36,208 and 50,583.75

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Solution

The third proportional to 36,208 and 50,583.75 is: 70,667.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,208 : 50,583.75 = 50,583.75 : x
  2. Step 2: Convert to fraction form
    36,208/50,583.75 = 50,583.75/x
  3. Step 3: Cross multiply
    36,208x = 50,583.75 × 50,583.75
  4. Step 4: Simplify right side
    36,208x = 2,558,715,764.06
  5. Step 5: Solve for x
    x = 2,558,715,764.06/36,208
  6. Step 6: Final answer
    x = 70,667.14

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.