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Finding the Third Proportional to 36,585.50 and 54,722.25

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Solution

The third proportional to 36,585.50 and 54,722.25 is: 81,850.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,585.50 : 54,722.25 = 54,722.25 : x
  2. Step 2: Convert to fraction form
    36,585.50/54,722.25 = 54,722.25/x
  3. Step 3: Cross multiply
    36,585.50x = 54,722.25 × 54,722.25
  4. Step 4: Simplify right side
    36,585.50x = 2,994,524,645.06
  5. Step 5: Solve for x
    x = 2,994,524,645.06/36,585.50
  6. Step 6: Final answer
    x = 81,850.04

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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.