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Finding the Third Proportional to 36,811 and 57,403.50

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Solution

The third proportional to 36,811 and 57,403.50 is: 89,515.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,811 : 57,403.50 = 57,403.50 : x
  2. Step 2: Convert to fraction form
    36,811/57,403.50 = 57,403.50/x
  3. Step 3: Cross multiply
    36,811x = 57,403.50 × 57,403.50
  4. Step 4: Simplify right side
    36,811x = 3,295,161,812.25
  5. Step 5: Solve for x
    x = 3,295,161,812.25/36,811
  6. Step 6: Final answer
    x = 89,515.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.