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Finding the Third Proportional to 41,884 and 62,916

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Solution

The third proportional to 41,884 and 62,916 is: 94,509.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,884 : 62,916 = 62,916 : x
  2. Step 2: Convert to fraction form
    41,884/62,916 = 62,916/x
  3. Step 3: Cross multiply
    41,884x = 62,916 × 62,916
  4. Step 4: Simplify right side
    41,884x = 3,958,423,056
  5. Step 5: Solve for x
    x = 3,958,423,056/41,884
  6. Step 6: Final answer
    x = 94,509.19

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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.