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Finding the Third Proportional to 16,328 and 34,075

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Solution

The third proportional to 16,328 and 34,075 is: 71,111.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,328 : 34,075 = 34,075 : x
  2. Step 2: Convert to fraction form
    16,328/34,075 = 34,075/x
  3. Step 3: Cross multiply
    16,328x = 34,075 × 34,075
  4. Step 4: Simplify right side
    16,328x = 1,161,105,625
  5. Step 5: Solve for x
    x = 1,161,105,625/16,328
  6. Step 6: Final answer
    x = 71,111.32

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.