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Finding the Third Proportional to 6,180 and 7,296

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Solution

The third proportional to 6,180 and 7,296 is: 8,613.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180 : 7,296 = 7,296 : x
  2. Step 2: Convert to fraction form
    6,180/7,296 = 7,296/x
  3. Step 3: Cross multiply
    6,180x = 7,296 × 7,296
  4. Step 4: Simplify right side
    6,180x = 53,231,616
  5. Step 5: Solve for x
    x = 53,231,616/6,180
  6. Step 6: Final answer
    x = 8,613.53

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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.