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Finding the Third Proportional to 3,153 and 4,181

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Solution

The third proportional to 3,153 and 4,181 is: 5,544.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153 : 4,181 = 4,181 : x
  2. Step 2: Convert to fraction form
    3,153/4,181 = 4,181/x
  3. Step 3: Cross multiply
    3,153x = 4,181 × 4,181
  4. Step 4: Simplify right side
    3,153x = 17,480,761
  5. Step 5: Solve for x
    x = 17,480,761/3,153
  6. Step 6: Final answer
    x = 5,544.17

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.