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Finding the Third Proportional to 36,189 and 54,661.50

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Solution

The third proportional to 36,189 and 54,661.50 is: 82,563.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,189 : 54,661.50 = 54,661.50 : x
  2. Step 2: Convert to fraction form
    36,189/54,661.50 = 54,661.50/x
  3. Step 3: Cross multiply
    36,189x = 54,661.50 × 54,661.50
  4. Step 4: Simplify right side
    36,189x = 2,987,879,582.25
  5. Step 5: Solve for x
    x = 2,987,879,582.25/36,189
  6. Step 6: Final answer
    x = 82,563.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.