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Finding the Third Proportional to 27,178 and 57,622

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Solution

The third proportional to 27,178 and 57,622 is: 122,168.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,178 : 57,622 = 57,622 : x
  2. Step 2: Convert to fraction form
    27,178/57,622 = 57,622/x
  3. Step 3: Cross multiply
    27,178x = 57,622 × 57,622
  4. Step 4: Simplify right side
    27,178x = 3,320,294,884
  5. Step 5: Solve for x
    x = 3,320,294,884/27,178
  6. Step 6: Final answer
    x = 122,168.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.