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Finding the Third Proportional to 36,162 and 55,395

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Solution

The third proportional to 36,162 and 55,395 is: 84,857.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,162 : 55,395 = 55,395 : x
  2. Step 2: Convert to fraction form
    36,162/55,395 = 55,395/x
  3. Step 3: Cross multiply
    36,162x = 55,395 × 55,395
  4. Step 4: Simplify right side
    36,162x = 3,068,606,025
  5. Step 5: Solve for x
    x = 3,068,606,025/36,162
  6. Step 6: Final answer
    x = 84,857.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.