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Finding the Third Proportional to 36,626 and 54,915

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Solution

The third proportional to 36,626 and 54,915 is: 82,336.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,626 : 54,915 = 54,915 : x
  2. Step 2: Convert to fraction form
    36,626/54,915 = 54,915/x
  3. Step 3: Cross multiply
    36,626x = 54,915 × 54,915
  4. Step 4: Simplify right side
    36,626x = 3,015,657,225
  5. Step 5: Solve for x
    x = 3,015,657,225/36,626
  6. Step 6: Final answer
    x = 82,336.52

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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.