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Finding the Third Proportional to 36,962 and 81,011

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Solution

The third proportional to 36,962 and 81,011 is: 177,554.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,962 : 81,011 = 81,011 : x
  2. Step 2: Convert to fraction form
    36,962/81,011 = 81,011/x
  3. Step 3: Cross multiply
    36,962x = 81,011 × 81,011
  4. Step 4: Simplify right side
    36,962x = 6,562,782,121
  5. Step 5: Solve for x
    x = 6,562,782,121/36,962
  6. Step 6: Final answer
    x = 177,554.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.