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Finding the Third Proportional to 48,399.75 and 104,583.38

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Solution

The third proportional to 48,399.75 and 104,583.38 is: 225,986.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,399.75 : 104,583.38 = 104,583.38 : x
  2. Step 2: Convert to fraction form
    48,399.75/104,583.38 = 104,583.38/x
  3. Step 3: Cross multiply
    48,399.75x = 104,583.38 × 104,583.38
  4. Step 4: Simplify right side
    48,399.75x = 10,937,682,326.39
  5. Step 5: Solve for x
    x = 10,937,682,326.39/48,399.75
  6. Step 6: Final answer
    x = 225,986.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.