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Finding the Third Proportional to 23,760 and 55,247.75

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Solution

The third proportional to 23,760 and 55,247.75 is: 128,464.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,760 : 55,247.75 = 55,247.75 : x
  2. Step 2: Convert to fraction form
    23,760/55,247.75 = 55,247.75/x
  3. Step 3: Cross multiply
    23,760x = 55,247.75 × 55,247.75
  4. Step 4: Simplify right side
    23,760x = 3,052,313,880.06
  5. Step 5: Solve for x
    x = 3,052,313,880.06/23,760
  6. Step 6: Final answer
    x = 128,464.39

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.