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Finding the Third Proportional to 41,441.75 and 63,735.75

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Solution

The third proportional to 41,441.75 and 63,735.75 is: 98,023.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,441.75 : 63,735.75 = 63,735.75 : x
  2. Step 2: Convert to fraction form
    41,441.75/63,735.75 = 63,735.75/x
  3. Step 3: Cross multiply
    41,441.75x = 63,735.75 × 63,735.75
  4. Step 4: Simplify right side
    41,441.75x = 4,062,245,828.06
  5. Step 5: Solve for x
    x = 4,062,245,828.06/41,441.75
  6. Step 6: Final answer
    x = 98,023.03

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.