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Finding the Third Proportional to 41,839 and 58,520.50

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Solution

The third proportional to 41,839 and 58,520.50 is: 81,853.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,839 : 58,520.50 = 58,520.50 : x
  2. Step 2: Convert to fraction form
    41,839/58,520.50 = 58,520.50/x
  3. Step 3: Cross multiply
    41,839x = 58,520.50 × 58,520.50
  4. Step 4: Simplify right side
    41,839x = 3,424,648,920.25
  5. Step 5: Solve for x
    x = 3,424,648,920.25/41,839
  6. Step 6: Final answer
    x = 81,853.03

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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.