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Finding the Third Proportional to 28,743 and 63,075

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Solution

The third proportional to 28,743 and 63,075 is: 138,414.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,743 : 63,075 = 63,075 : x
  2. Step 2: Convert to fraction form
    28,743/63,075 = 63,075/x
  3. Step 3: Cross multiply
    28,743x = 63,075 × 63,075
  4. Step 4: Simplify right side
    28,743x = 3,978,455,625
  5. Step 5: Solve for x
    x = 3,978,455,625/28,743
  6. Step 6: Final answer
    x = 138,414.77

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.