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Finding the Third Proportional to 28,075 and 42,567

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Solution

The third proportional to 28,075 and 42,567 is: 64,539.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,075 : 42,567 = 42,567 : x
  2. Step 2: Convert to fraction form
    28,075/42,567 = 42,567/x
  3. Step 3: Cross multiply
    28,075x = 42,567 × 42,567
  4. Step 4: Simplify right side
    28,075x = 1,811,949,489
  5. Step 5: Solve for x
    x = 1,811,949,489/28,075
  6. Step 6: Final answer
    x = 64,539.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.