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Finding the Third Proportional to 41,916 and 62,874

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Solution

The third proportional to 41,916 and 62,874 is: 94,311

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,916 : 62,874 = 62,874 : x
  2. Step 2: Convert to fraction form
    41,916/62,874 = 62,874/x
  3. Step 3: Cross multiply
    41,916x = 62,874 × 62,874
  4. Step 4: Simplify right side
    41,916x = 3,953,139,876
  5. Step 5: Solve for x
    x = 3,953,139,876/41,916
  6. Step 6: Final answer
    x = 94,311

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.