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Finding the Third Proportional to 27,962 and 57,220

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Solution

The third proportional to 27,962 and 57,220 is: 117,092.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,962 : 57,220 = 57,220 : x
  2. Step 2: Convert to fraction form
    27,962/57,220 = 57,220/x
  3. Step 3: Cross multiply
    27,962x = 57,220 × 57,220
  4. Step 4: Simplify right side
    27,962x = 3,274,128,400
  5. Step 5: Solve for x
    x = 3,274,128,400/27,962
  6. Step 6: Final answer
    x = 117,092.07

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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.