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Finding the Third Proportional to 27,900 and 41,847.75

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Solution

The third proportional to 27,900 and 41,847.75 is: 62,768.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,900 : 41,847.75 = 41,847.75 : x
  2. Step 2: Convert to fraction form
    27,900/41,847.75 = 41,847.75/x
  3. Step 3: Cross multiply
    27,900x = 41,847.75 × 41,847.75
  4. Step 4: Simplify right side
    27,900x = 1,751,234,180.06
  5. Step 5: Solve for x
    x = 1,751,234,180.06/27,900
  6. Step 6: Final answer
    x = 62,768.25

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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.