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Finding the Third Proportional to 6,801 and 9,577

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Solution

The third proportional to 6,801 and 9,577 is: 13,486.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801 : 9,577 = 9,577 : x
  2. Step 2: Convert to fraction form
    6,801/9,577 = 9,577/x
  3. Step 3: Cross multiply
    6,801x = 9,577 × 9,577
  4. Step 4: Simplify right side
    6,801x = 91,718,929
  5. Step 5: Solve for x
    x = 91,718,929/6,801
  6. Step 6: Final answer
    x = 13,486.09

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.