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Finding the Third Proportional to 10,334 and 18,075

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Solution

The third proportional to 10,334 and 18,075 is: 31,614.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,334 : 18,075 = 18,075 : x
  2. Step 2: Convert to fraction form
    10,334/18,075 = 18,075/x
  3. Step 3: Cross multiply
    10,334x = 18,075 × 18,075
  4. Step 4: Simplify right side
    10,334x = 326,705,625
  5. Step 5: Solve for x
    x = 326,705,625/10,334
  6. Step 6: Final answer
    x = 31,614.63

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.