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Finding the Third Proportional to 15,757 and 34,622

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Solution

The third proportional to 15,757 and 34,622 is: 76,073.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,757 : 34,622 = 34,622 : x
  2. Step 2: Convert to fraction form
    15,757/34,622 = 34,622/x
  3. Step 3: Cross multiply
    15,757x = 34,622 × 34,622
  4. Step 4: Simplify right side
    15,757x = 1,198,682,884
  5. Step 5: Solve for x
    x = 1,198,682,884/15,757
  6. Step 6: Final answer
    x = 76,073.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.