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Finding the Third Proportional to 36,987.50 and 52,336.75

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Solution

The third proportional to 36,987.50 and 52,336.75 is: 74,055.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,987.50 : 52,336.75 = 52,336.75 : x
  2. Step 2: Convert to fraction form
    36,987.50/52,336.75 = 52,336.75/x
  3. Step 3: Cross multiply
    36,987.50x = 52,336.75 × 52,336.75
  4. Step 4: Simplify right side
    36,987.50x = 2,739,135,400.56
  5. Step 5: Solve for x
    x = 2,739,135,400.56/36,987.50
  6. Step 6: Final answer
    x = 74,055.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.