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Finding the Third Proportional to 41,839.50 and 58,519.50

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Solution

The third proportional to 41,839.50 and 58,519.50 is: 81,849.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,839.50 : 58,519.50 = 58,519.50 : x
  2. Step 2: Convert to fraction form
    41,839.50/58,519.50 = 58,519.50/x
  3. Step 3: Cross multiply
    41,839.50x = 58,519.50 × 58,519.50
  4. Step 4: Simplify right side
    41,839.50x = 3,424,531,880.25
  5. Step 5: Solve for x
    x = 3,424,531,880.25/41,839.50
  6. Step 6: Final answer
    x = 81,849.25

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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.