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Finding the Third Proportional to 36,265 and 76,884

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Solution

The third proportional to 36,265 and 76,884 is: 162,998.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,265 : 76,884 = 76,884 : x
  2. Step 2: Convert to fraction form
    36,265/76,884 = 76,884/x
  3. Step 3: Cross multiply
    36,265x = 76,884 × 76,884
  4. Step 4: Simplify right side
    36,265x = 5,911,149,456
  5. Step 5: Solve for x
    x = 5,911,149,456/36,265
  6. Step 6: Final answer
    x = 162,998.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.