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Finding the Third Proportional to 41,893 and 58,601

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Solution

The third proportional to 41,893 and 58,601 is: 81,972.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,893 : 58,601 = 58,601 : x
  2. Step 2: Convert to fraction form
    41,893/58,601 = 58,601/x
  3. Step 3: Cross multiply
    41,893x = 58,601 × 58,601
  4. Step 4: Simplify right side
    41,893x = 3,434,077,201
  5. Step 5: Solve for x
    x = 3,434,077,201/41,893
  6. Step 6: Final answer
    x = 81,972.58

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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.