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Finding the Third Proportional to 36,235.50 and 73,494.75

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Solution

The third proportional to 36,235.50 and 73,494.75 is: 149,065.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,235.50 : 73,494.75 = 73,494.75 : x
  2. Step 2: Convert to fraction form
    36,235.50/73,494.75 = 73,494.75/x
  3. Step 3: Cross multiply
    36,235.50x = 73,494.75 × 73,494.75
  4. Step 4: Simplify right side
    36,235.50x = 5,401,478,277.56
  5. Step 5: Solve for x
    x = 5,401,478,277.56/36,235.50
  6. Step 6: Final answer
    x = 149,065.92

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.