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Finding the Third Proportional to 27,021 and 55,378

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Solution

The third proportional to 27,021 and 55,378 is: 113,494.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,021 : 55,378 = 55,378 : x
  2. Step 2: Convert to fraction form
    27,021/55,378 = 55,378/x
  3. Step 3: Cross multiply
    27,021x = 55,378 × 55,378
  4. Step 4: Simplify right side
    27,021x = 3,066,722,884
  5. Step 5: Solve for x
    x = 3,066,722,884/27,021
  6. Step 6: Final answer
    x = 113,494.06

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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.