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Finding the Third Proportional to 5,412 and 8,177

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Solution

The third proportional to 5,412 and 8,177 is: 12,354.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412 : 8,177 = 8,177 : x
  2. Step 2: Convert to fraction form
    5,412/8,177 = 8,177/x
  3. Step 3: Cross multiply
    5,412x = 8,177 × 8,177
  4. Step 4: Simplify right side
    5,412x = 66,863,329
  5. Step 5: Solve for x
    x = 66,863,329/5,412
  6. Step 6: Final answer
    x = 12,354.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.