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Finding the Third Proportional to 27,186 and 55,836

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Solution

The third proportional to 27,186 and 55,836 is: 114,678.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,186 : 55,836 = 55,836 : x
  2. Step 2: Convert to fraction form
    27,186/55,836 = 55,836/x
  3. Step 3: Cross multiply
    27,186x = 55,836 × 55,836
  4. Step 4: Simplify right side
    27,186x = 3,117,658,896
  5. Step 5: Solve for x
    x = 3,117,658,896/27,186
  6. Step 6: Final answer
    x = 114,678.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.