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Finding the Third Proportional to 6,561 and 8,001

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Solution

The third proportional to 6,561 and 8,001 is: 9,757.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561 : 8,001 = 8,001 : x
  2. Step 2: Convert to fraction form
    6,561/8,001 = 8,001/x
  3. Step 3: Cross multiply
    6,561x = 8,001 × 8,001
  4. Step 4: Simplify right side
    6,561x = 64,016,001
  5. Step 5: Solve for x
    x = 64,016,001/6,561
  6. Step 6: Final answer
    x = 9,757.05

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.