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Finding the Third Proportional to 41,646 and 62,401

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Solution

The third proportional to 41,646 and 62,401 is: 93,499.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,646 : 62,401 = 62,401 : x
  2. Step 2: Convert to fraction form
    41,646/62,401 = 62,401/x
  3. Step 3: Cross multiply
    41,646x = 62,401 × 62,401
  4. Step 4: Simplify right side
    41,646x = 3,893,884,801
  5. Step 5: Solve for x
    x = 3,893,884,801/41,646
  6. Step 6: Final answer
    x = 93,499.61

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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.