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Finding the Third Proportional to 20,584.41 and 44,289.56

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Solution

The third proportional to 20,584.41 and 44,289.56 is: 95,293.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,584.41 : 44,289.56 = 44,289.56 : x
  2. Step 2: Convert to fraction form
    20,584.41/44,289.56 = 44,289.56/x
  3. Step 3: Cross multiply
    20,584.41x = 44,289.56 × 44,289.56
  4. Step 4: Simplify right side
    20,584.41x = 1,961,565,346.44
  5. Step 5: Solve for x
    x = 1,961,565,346.44/20,584.41
  6. Step 6: Final answer
    x = 95,293.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.