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Finding the Third Proportional to 41,018.75 and 89,629.25

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Solution

The third proportional to 41,018.75 and 89,629.25 is: 195,847.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,018.75 : 89,629.25 = 89,629.25 : x
  2. Step 2: Convert to fraction form
    41,018.75/89,629.25 = 89,629.25/x
  3. Step 3: Cross multiply
    41,018.75x = 89,629.25 × 89,629.25
  4. Step 4: Simplify right side
    41,018.75x = 8,033,402,455.56
  5. Step 5: Solve for x
    x = 8,033,402,455.56/41,018.75
  6. Step 6: Final answer
    x = 195,847.08

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.