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Finding the Third Proportional to 3,906 and 6,417

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Solution

The third proportional to 3,906 and 6,417 is: 10,542.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906 : 6,417 = 6,417 : x
  2. Step 2: Convert to fraction form
    3,906/6,417 = 6,417/x
  3. Step 3: Cross multiply
    3,906x = 6,417 × 6,417
  4. Step 4: Simplify right side
    3,906x = 41,177,889
  5. Step 5: Solve for x
    x = 41,177,889/3,906
  6. Step 6: Final answer
    x = 10,542.21

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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.