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Finding the Third Proportional to 6,591 and 7,149

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Solution

The third proportional to 6,591 and 7,149 is: 7,754.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,591 : 7,149 = 7,149 : x
  2. Step 2: Convert to fraction form
    6,591/7,149 = 7,149/x
  3. Step 3: Cross multiply
    6,591x = 7,149 × 7,149
  4. Step 4: Simplify right side
    6,591x = 51,108,201
  5. Step 5: Solve for x
    x = 51,108,201/6,591
  6. Step 6: Final answer
    x = 7,754.24

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.