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Finding the Third Proportional to 27,229.50 and 42,075

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Solution

The third proportional to 27,229.50 and 42,075 is: 65,014.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,229.50 : 42,075 = 42,075 : x
  2. Step 2: Convert to fraction form
    27,229.50/42,075 = 42,075/x
  3. Step 3: Cross multiply
    27,229.50x = 42,075 × 42,075
  4. Step 4: Simplify right side
    27,229.50x = 1,770,305,625
  5. Step 5: Solve for x
    x = 1,770,305,625/27,229.50
  6. Step 6: Final answer
    x = 65,014.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.