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Finding the Third Proportional to 47,958.75 and 74,467.69

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Solution

The third proportional to 47,958.75 and 74,467.69 is: 115,629.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,958.75 : 74,467.69 = 74,467.69 : x
  2. Step 2: Convert to fraction form
    47,958.75/74,467.69 = 74,467.69/x
  3. Step 3: Cross multiply
    47,958.75x = 74,467.69 × 74,467.69
  4. Step 4: Simplify right side
    47,958.75x = 5,545,436,481.60
  5. Step 5: Solve for x
    x = 5,545,436,481.60/47,958.75
  6. Step 6: Final answer
    x = 115,629.30

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.