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Finding the Third Proportional to 36,406 and 52,611

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Solution

The third proportional to 36,406 and 52,611 is: 76,029.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,406 : 52,611 = 52,611 : x
  2. Step 2: Convert to fraction form
    36,406/52,611 = 52,611/x
  3. Step 3: Cross multiply
    36,406x = 52,611 × 52,611
  4. Step 4: Simplify right side
    36,406x = 2,767,917,321
  5. Step 5: Solve for x
    x = 2,767,917,321/36,406
  6. Step 6: Final answer
    x = 76,029.15

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.