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Finding the Third Proportional to 50,883.75 and 77,645.25

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Solution

The third proportional to 50,883.75 and 77,645.25 is: 118,481.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,883.75 : 77,645.25 = 77,645.25 : x
  2. Step 2: Convert to fraction form
    50,883.75/77,645.25 = 77,645.25/x
  3. Step 3: Cross multiply
    50,883.75x = 77,645.25 × 77,645.25
  4. Step 4: Simplify right side
    50,883.75x = 6,028,784,847.56
  5. Step 5: Solve for x
    x = 6,028,784,847.56/50,883.75
  6. Step 6: Final answer
    x = 118,481.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.