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Finding the Third Proportional to 3,706 and 4,192

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Solution

The third proportional to 3,706 and 4,192 is: 4,741.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706 : 4,192 = 4,192 : x
  2. Step 2: Convert to fraction form
    3,706/4,192 = 4,192/x
  3. Step 3: Cross multiply
    3,706x = 4,192 × 4,192
  4. Step 4: Simplify right side
    3,706x = 17,572,864
  5. Step 5: Solve for x
    x = 17,572,864/3,706
  6. Step 6: Final answer
    x = 4,741.73

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.