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Finding the Third Proportional to 27,934 and 39,075

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Solution

The third proportional to 27,934 and 39,075 is: 54,659.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,934 : 39,075 = 39,075 : x
  2. Step 2: Convert to fraction form
    27,934/39,075 = 39,075/x
  3. Step 3: Cross multiply
    27,934x = 39,075 × 39,075
  4. Step 4: Simplify right side
    27,934x = 1,526,855,625
  5. Step 5: Solve for x
    x = 1,526,855,625/27,934
  6. Step 6: Final answer
    x = 54,659.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.