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Finding the Third Proportional to 17,883 and 38,075

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Solution

The third proportional to 17,883 and 38,075 is: 81,066.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,883 : 38,075 = 38,075 : x
  2. Step 2: Convert to fraction form
    17,883/38,075 = 38,075/x
  3. Step 3: Cross multiply
    17,883x = 38,075 × 38,075
  4. Step 4: Simplify right side
    17,883x = 1,449,705,625
  5. Step 5: Solve for x
    x = 1,449,705,625/17,883
  6. Step 6: Final answer
    x = 81,066.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.