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Finding the Third Proportional to 36,485.44 and 46,620.56

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Solution

The third proportional to 36,485.44 and 46,620.56 is: 59,571.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,485.44 : 46,620.56 = 46,620.56 : x
  2. Step 2: Convert to fraction form
    36,485.44/46,620.56 = 46,620.56/x
  3. Step 3: Cross multiply
    36,485.44x = 46,620.56 × 46,620.56
  4. Step 4: Simplify right side
    36,485.44x = 2,173,476,847.82
  5. Step 5: Solve for x
    x = 2,173,476,847.82/36,485.44
  6. Step 6: Final answer
    x = 59,571.08

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.