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Finding the Third Proportional to 15,825 and 34,626

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Solution

The third proportional to 15,825 and 34,626 is: 75,763.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,825 : 34,626 = 34,626 : x
  2. Step 2: Convert to fraction form
    15,825/34,626 = 34,626/x
  3. Step 3: Cross multiply
    15,825x = 34,626 × 34,626
  4. Step 4: Simplify right side
    15,825x = 1,198,959,876
  5. Step 5: Solve for x
    x = 1,198,959,876/15,825
  6. Step 6: Final answer
    x = 75,763.66

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Why These Related Problems?

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