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Finding the Third Proportional to 6,591 and 8,580

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Solution

The third proportional to 6,591 and 8,580 is: 11,169.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,591 : 8,580 = 8,580 : x
  2. Step 2: Convert to fraction form
    6,591/8,580 = 8,580/x
  3. Step 3: Cross multiply
    6,591x = 8,580 × 8,580
  4. Step 4: Simplify right side
    6,591x = 73,616,400
  5. Step 5: Solve for x
    x = 73,616,400/6,591
  6. Step 6: Final answer
    x = 11,169.23

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.