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Finding the Third Proportional to 3,838 and 6,297

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Solution

The third proportional to 3,838 and 6,297 is: 10,331.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838 : 6,297 = 6,297 : x
  2. Step 2: Convert to fraction form
    3,838/6,297 = 6,297/x
  3. Step 3: Cross multiply
    3,838x = 6,297 × 6,297
  4. Step 4: Simplify right side
    3,838x = 39,652,209
  5. Step 5: Solve for x
    x = 39,652,209/3,838
  6. Step 6: Final answer
    x = 10,331.48

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.