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Finding the Third Proportional to 5,180 and 8,004

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Solution

The third proportional to 5,180 and 8,004 is: 12,367.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180 : 8,004 = 8,004 : x
  2. Step 2: Convert to fraction form
    5,180/8,004 = 8,004/x
  3. Step 3: Cross multiply
    5,180x = 8,004 × 8,004
  4. Step 4: Simplify right side
    5,180x = 64,064,016
  5. Step 5: Solve for x
    x = 64,064,016/5,180
  6. Step 6: Final answer
    x = 12,367.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.