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Finding the Third Proportional to 36,385.25 and 54,713

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Solution

The third proportional to 36,385.25 and 54,713 is: 82,272.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,385.25 : 54,713 = 54,713 : x
  2. Step 2: Convert to fraction form
    36,385.25/54,713 = 54,713/x
  3. Step 3: Cross multiply
    36,385.25x = 54,713 × 54,713
  4. Step 4: Simplify right side
    36,385.25x = 2,993,512,369
  5. Step 5: Solve for x
    x = 2,993,512,369/36,385.25
  6. Step 6: Final answer
    x = 82,272.69

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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.