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Finding the Third Proportional to 41,884 and 58,208

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Solution

The third proportional to 41,884 and 58,208 is: 80,894.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,884 : 58,208 = 58,208 : x
  2. Step 2: Convert to fraction form
    41,884/58,208 = 58,208/x
  3. Step 3: Cross multiply
    41,884x = 58,208 × 58,208
  4. Step 4: Simplify right side
    41,884x = 3,388,171,264
  5. Step 5: Solve for x
    x = 3,388,171,264/41,884
  6. Step 6: Final answer
    x = 80,894.17

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.