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Finding the Third Proportional to 3,834 and 6,255

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Solution

The third proportional to 3,834 and 6,255 is: 10,204.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834 : 6,255 = 6,255 : x
  2. Step 2: Convert to fraction form
    3,834/6,255 = 6,255/x
  3. Step 3: Cross multiply
    3,834x = 6,255 × 6,255
  4. Step 4: Simplify right side
    3,834x = 39,125,025
  5. Step 5: Solve for x
    x = 39,125,025/3,834
  6. Step 6: Final answer
    x = 10,204.75

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.