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Finding the Third Proportional to 27,194 and 36,595

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Solution

The third proportional to 27,194 and 36,595 is: 49,245.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,194 : 36,595 = 36,595 : x
  2. Step 2: Convert to fraction form
    27,194/36,595 = 36,595/x
  3. Step 3: Cross multiply
    27,194x = 36,595 × 36,595
  4. Step 4: Simplify right side
    27,194x = 1,339,194,025
  5. Step 5: Solve for x
    x = 1,339,194,025/27,194
  6. Step 6: Final answer
    x = 49,245.94

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.