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Finding the Third Proportional to 36,512 and 53,329

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Solution

The third proportional to 36,512 and 53,329 is: 77,891.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,512 : 53,329 = 53,329 : x
  2. Step 2: Convert to fraction form
    36,512/53,329 = 53,329/x
  3. Step 3: Cross multiply
    36,512x = 53,329 × 53,329
  4. Step 4: Simplify right side
    36,512x = 2,843,982,241
  5. Step 5: Solve for x
    x = 2,843,982,241/36,512
  6. Step 6: Final answer
    x = 77,891.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.