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Finding the Third Proportional to 3,706 and 8,164

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Solution

The third proportional to 3,706 and 8,164 is: 17,984.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706 : 8,164 = 8,164 : x
  2. Step 2: Convert to fraction form
    3,706/8,164 = 8,164/x
  3. Step 3: Cross multiply
    3,706x = 8,164 × 8,164
  4. Step 4: Simplify right side
    3,706x = 66,650,896
  5. Step 5: Solve for x
    x = 66,650,896/3,706
  6. Step 6: Final answer
    x = 17,984.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.