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Finding the Third Proportional to 27,212 and 57,686

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Solution

The third proportional to 27,212 and 57,686 is: 122,287.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,212 : 57,686 = 57,686 : x
  2. Step 2: Convert to fraction form
    27,212/57,686 = 57,686/x
  3. Step 3: Cross multiply
    27,212x = 57,686 × 57,686
  4. Step 4: Simplify right side
    27,212x = 3,327,674,596
  5. Step 5: Solve for x
    x = 3,327,674,596/27,212
  6. Step 6: Final answer
    x = 122,287.03

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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.