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Finding the Third Proportional to 36,240.75 and 54,577.13

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Solution

The third proportional to 36,240.75 and 54,577.13 is: 82,190.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,240.75 : 54,577.13 = 54,577.13 : x
  2. Step 2: Convert to fraction form
    36,240.75/54,577.13 = 54,577.13/x
  3. Step 3: Cross multiply
    36,240.75x = 54,577.13 × 54,577.13
  4. Step 4: Simplify right side
    36,240.75x = 2,978,662,573.27
  5. Step 5: Solve for x
    x = 2,978,662,573.27/36,240.75
  6. Step 6: Final answer
    x = 82,190.97

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Why These Related Problems?

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