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Finding the Third Proportional to 6,530 and 8,975

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Solution

The third proportional to 6,530 and 8,975 is: 12,335.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530 : 8,975 = 8,975 : x
  2. Step 2: Convert to fraction form
    6,530/8,975 = 8,975/x
  3. Step 3: Cross multiply
    6,530x = 8,975 × 8,975
  4. Step 4: Simplify right side
    6,530x = 80,550,625
  5. Step 5: Solve for x
    x = 80,550,625/6,530
  6. Step 6: Final answer
    x = 12,335.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.