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Finding the Third Proportional to 22,464.75 and 48,914.25

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Solution

The third proportional to 22,464.75 and 48,914.25 is: 106,504.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,464.75 : 48,914.25 = 48,914.25 : x
  2. Step 2: Convert to fraction form
    22,464.75/48,914.25 = 48,914.25/x
  3. Step 3: Cross multiply
    22,464.75x = 48,914.25 × 48,914.25
  4. Step 4: Simplify right side
    22,464.75x = 2,392,603,853.06
  5. Step 5: Solve for x
    x = 2,392,603,853.06/22,464.75
  6. Step 6: Final answer
    x = 106,504.81

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.