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Finding the Third Proportional to 27,938 and 56,686

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Solution

The third proportional to 27,938 and 56,686 is: 115,015.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,938 : 56,686 = 56,686 : x
  2. Step 2: Convert to fraction form
    27,938/56,686 = 56,686/x
  3. Step 3: Cross multiply
    27,938x = 56,686 × 56,686
  4. Step 4: Simplify right side
    27,938x = 3,213,302,596
  5. Step 5: Solve for x
    x = 3,213,302,596/27,938
  6. Step 6: Final answer
    x = 115,015.48

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.