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Finding the Third Proportional to 41,310 and 58,401

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Solution

The third proportional to 41,310 and 58,401 is: 82,562.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,310 : 58,401 = 58,401 : x
  2. Step 2: Convert to fraction form
    41,310/58,401 = 58,401/x
  3. Step 3: Cross multiply
    41,310x = 58,401 × 58,401
  4. Step 4: Simplify right side
    41,310x = 3,410,676,801
  5. Step 5: Solve for x
    x = 3,410,676,801/41,310
  6. Step 6: Final answer
    x = 82,562.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.