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Finding the Third Proportional to 41,956 and 58,661

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Solution

The third proportional to 41,956 and 58,661 is: 82,017.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,956 : 58,661 = 58,661 : x
  2. Step 2: Convert to fraction form
    41,956/58,661 = 58,661/x
  3. Step 3: Cross multiply
    41,956x = 58,661 × 58,661
  4. Step 4: Simplify right side
    41,956x = 3,441,112,921
  5. Step 5: Solve for x
    x = 3,441,112,921/41,956
  6. Step 6: Final answer
    x = 82,017.18

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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.