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Finding the Third Proportional to 28,098 and 42,075

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Solution

The third proportional to 28,098 and 42,075 is: 63,004.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,098 : 42,075 = 42,075 : x
  2. Step 2: Convert to fraction form
    28,098/42,075 = 42,075/x
  3. Step 3: Cross multiply
    28,098x = 42,075 × 42,075
  4. Step 4: Simplify right side
    28,098x = 1,770,305,625
  5. Step 5: Solve for x
    x = 1,770,305,625/28,098
  6. Step 6: Final answer
    x = 63,004.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.