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Finding the Third Proportional to 48,289.50 and 74,621.25

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Solution

The third proportional to 48,289.50 and 74,621.25 is: 115,311.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,289.50 : 74,621.25 = 74,621.25 : x
  2. Step 2: Convert to fraction form
    48,289.50/74,621.25 = 74,621.25/x
  3. Step 3: Cross multiply
    48,289.50x = 74,621.25 × 74,621.25
  4. Step 4: Simplify right side
    48,289.50x = 5,568,330,951.56
  5. Step 5: Solve for x
    x = 5,568,330,951.56/48,289.50
  6. Step 6: Final answer
    x = 115,311.42

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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.