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Finding the Third Proportional to 36,241.88 and 54,193.88

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Solution

The third proportional to 36,241.88 and 54,193.88 is: 81,038.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,241.88 : 54,193.88 = 54,193.88 : x
  2. Step 2: Convert to fraction form
    36,241.88/54,193.88 = 54,193.88/x
  3. Step 3: Cross multiply
    36,241.88x = 54,193.88 × 54,193.88
  4. Step 4: Simplify right side
    36,241.88x = 2,936,976,087.52
  5. Step 5: Solve for x
    x = 2,936,976,087.52/36,241.88
  6. Step 6: Final answer
    x = 81,038.19

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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.