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Finding the Third Proportional to 27,098 and 36,245

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Solution

The third proportional to 27,098 and 36,245 is: 48,479.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,098 : 36,245 = 36,245 : x
  2. Step 2: Convert to fraction form
    27,098/36,245 = 36,245/x
  3. Step 3: Cross multiply
    27,098x = 36,245 × 36,245
  4. Step 4: Simplify right side
    27,098x = 1,313,700,025
  5. Step 5: Solve for x
    x = 1,313,700,025/27,098
  6. Step 6: Final answer
    x = 48,479.59

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.