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Finding the Third Proportional to 6,561 and 12,879

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Solution

The third proportional to 6,561 and 12,879 is: 25,281

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561 : 12,879 = 12,879 : x
  2. Step 2: Convert to fraction form
    6,561/12,879 = 12,879/x
  3. Step 3: Cross multiply
    6,561x = 12,879 × 12,879
  4. Step 4: Simplify right side
    6,561x = 165,868,641
  5. Step 5: Solve for x
    x = 165,868,641/6,561
  6. Step 6: Final answer
    x = 25,281

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.