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Finding the Third Proportional to 19,584.44 and 40,205.75

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Solution

The third proportional to 19,584.44 and 40,205.75 is: 82,540.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,584.44 : 40,205.75 = 40,205.75 : x
  2. Step 2: Convert to fraction form
    19,584.44/40,205.75 = 40,205.75/x
  3. Step 3: Cross multiply
    19,584.44x = 40,205.75 × 40,205.75
  4. Step 4: Simplify right side
    19,584.44x = 1,616,502,333.06
  5. Step 5: Solve for x
    x = 1,616,502,333.06/19,584.44
  6. Step 6: Final answer
    x = 82,540.15

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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.