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Finding the Third Proportional to 27,244 and 57,242

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Solution

The third proportional to 27,244 and 57,242 is: 120,270.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,244 : 57,242 = 57,242 : x
  2. Step 2: Convert to fraction form
    27,244/57,242 = 57,242/x
  3. Step 3: Cross multiply
    27,244x = 57,242 × 57,242
  4. Step 4: Simplify right side
    27,244x = 3,276,646,564
  5. Step 5: Solve for x
    x = 3,276,646,564/27,244
  6. Step 6: Final answer
    x = 120,270.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.