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Finding the Third Proportional to 3,706 and 6,167

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Solution

The third proportional to 3,706 and 6,167 is: 10,262.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706 : 6,167 = 6,167 : x
  2. Step 2: Convert to fraction form
    3,706/6,167 = 6,167/x
  3. Step 3: Cross multiply
    3,706x = 6,167 × 6,167
  4. Step 4: Simplify right side
    3,706x = 38,031,889
  5. Step 5: Solve for x
    x = 38,031,889/3,706
  6. Step 6: Final answer
    x = 10,262.25

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.