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Finding the Third Proportional to 11,162 and 30,365

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Solution

The third proportional to 11,162 and 30,365 is: 82,604.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,162 : 30,365 = 30,365 : x
  2. Step 2: Convert to fraction form
    11,162/30,365 = 30,365/x
  3. Step 3: Cross multiply
    11,162x = 30,365 × 30,365
  4. Step 4: Simplify right side
    11,162x = 922,033,225
  5. Step 5: Solve for x
    x = 922,033,225/11,162
  6. Step 6: Final answer
    x = 82,604.66

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.