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Finding the Third Proportional to 22,286.25 and 48,945.75

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Solution

The third proportional to 22,286.25 and 48,945.75 is: 107,496.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,286.25 : 48,945.75 = 48,945.75 : x
  2. Step 2: Convert to fraction form
    22,286.25/48,945.75 = 48,945.75/x
  3. Step 3: Cross multiply
    22,286.25x = 48,945.75 × 48,945.75
  4. Step 4: Simplify right side
    22,286.25x = 2,395,686,443.06
  5. Step 5: Solve for x
    x = 2,395,686,443.06/22,286.25
  6. Step 6: Final answer
    x = 107,496.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.