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Finding the Third Proportional to 41,839.50 and 58,520.25

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Solution

The third proportional to 41,839.50 and 58,520.25 is: 81,851.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,839.50 : 58,520.25 = 58,520.25 : x
  2. Step 2: Convert to fraction form
    41,839.50/58,520.25 = 58,520.25/x
  3. Step 3: Cross multiply
    41,839.50x = 58,520.25 × 58,520.25
  4. Step 4: Simplify right side
    41,839.50x = 3,424,619,660.06
  5. Step 5: Solve for x
    x = 3,424,619,660.06/41,839.50
  6. Step 6: Final answer
    x = 81,851.35

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.