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Finding the Third Proportional to 27,162 and 57,915

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Solution

The third proportional to 27,162 and 57,915 is: 123,486.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,162 : 57,915 = 57,915 : x
  2. Step 2: Convert to fraction form
    27,162/57,915 = 57,915/x
  3. Step 3: Cross multiply
    27,162x = 57,915 × 57,915
  4. Step 4: Simplify right side
    27,162x = 3,354,147,225
  5. Step 5: Solve for x
    x = 3,354,147,225/27,162
  6. Step 6: Final answer
    x = 123,486.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.