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Finding the Third Proportional to 19,647 and 40,201.75

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Solution

The third proportional to 19,647 and 40,201.75 is: 82,260.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,647 : 40,201.75 = 40,201.75 : x
  2. Step 2: Convert to fraction form
    19,647/40,201.75 = 40,201.75/x
  3. Step 3: Cross multiply
    19,647x = 40,201.75 × 40,201.75
  4. Step 4: Simplify right side
    19,647x = 1,616,180,703.06
  5. Step 5: Solve for x
    x = 1,616,180,703.06/19,647
  6. Step 6: Final answer
    x = 82,260.94

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.