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Finding the Third Proportional to 19,223.75 and 41,321.25

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Solution

The third proportional to 19,223.75 and 41,321.25 is: 88,819.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,223.75 : 41,321.25 = 41,321.25 : x
  2. Step 2: Convert to fraction form
    19,223.75/41,321.25 = 41,321.25/x
  3. Step 3: Cross multiply
    19,223.75x = 41,321.25 × 41,321.25
  4. Step 4: Simplify right side
    19,223.75x = 1,707,445,701.56
  5. Step 5: Solve for x
    x = 1,707,445,701.56/19,223.75
  6. Step 6: Final answer
    x = 88,819.60

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