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Finding the Third Proportional to 3,551 and 4,181

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Solution

The third proportional to 3,551 and 4,181 is: 4,922.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,551 : 4,181 = 4,181 : x
  2. Step 2: Convert to fraction form
    3,551/4,181 = 4,181/x
  3. Step 3: Cross multiply
    3,551x = 4,181 × 4,181
  4. Step 4: Simplify right side
    3,551x = 17,480,761
  5. Step 5: Solve for x
    x = 17,480,761/3,551
  6. Step 6: Final answer
    x = 4,922.77

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.