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Finding the Third Proportional to 36,589.50 and 44,041.50

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Solution

The third proportional to 36,589.50 and 44,041.50 is: 53,011.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,589.50 : 44,041.50 = 44,041.50 : x
  2. Step 2: Convert to fraction form
    36,589.50/44,041.50 = 44,041.50/x
  3. Step 3: Cross multiply
    36,589.50x = 44,041.50 × 44,041.50
  4. Step 4: Simplify right side
    36,589.50x = 1,939,653,722.25
  5. Step 5: Solve for x
    x = 1,939,653,722.25/36,589.50
  6. Step 6: Final answer
    x = 53,011.21

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.