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Finding the Third Proportional to 36,235.48 and 54,185.84

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Solution

The third proportional to 36,235.48 and 54,185.84 is: 81,028.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,235.48 : 54,185.84 = 54,185.84 : x
  2. Step 2: Convert to fraction form
    36,235.48/54,185.84 = 54,185.84/x
  3. Step 3: Cross multiply
    36,235.48x = 54,185.84 × 54,185.84
  4. Step 4: Simplify right side
    36,235.48x = 2,936,104,816.25
  5. Step 5: Solve for x
    x = 2,936,104,816.25/36,235.48
  6. Step 6: Final answer
    x = 81,028.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.