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Finding the Third Proportional to 6,584 and 8,542

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Solution

The third proportional to 6,584 and 8,542 is: 11,082.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584 : 8,542 = 8,542 : x
  2. Step 2: Convert to fraction form
    6,584/8,542 = 8,542/x
  3. Step 3: Cross multiply
    6,584x = 8,542 × 8,542
  4. Step 4: Simplify right side
    6,584x = 72,965,764
  5. Step 5: Solve for x
    x = 72,965,764/6,584
  6. Step 6: Final answer
    x = 11,082.28

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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.