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Finding the Third Proportional to 41,977 and 58,690

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Solution

The third proportional to 41,977 and 58,690 is: 82,057.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,977 : 58,690 = 58,690 : x
  2. Step 2: Convert to fraction form
    41,977/58,690 = 58,690/x
  3. Step 3: Cross multiply
    41,977x = 58,690 × 58,690
  4. Step 4: Simplify right side
    41,977x = 3,444,516,100
  5. Step 5: Solve for x
    x = 3,444,516,100/41,977
  6. Step 6: Final answer
    x = 82,057.22

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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.