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Finding the Third Proportional to 6,577 and 9,251

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Solution

The third proportional to 6,577 and 9,251 is: 13,012.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577 : 9,251 = 9,251 : x
  2. Step 2: Convert to fraction form
    6,577/9,251 = 9,251/x
  3. Step 3: Cross multiply
    6,577x = 9,251 × 9,251
  4. Step 4: Simplify right side
    6,577x = 85,581,001
  5. Step 5: Solve for x
    x = 85,581,001/6,577
  6. Step 6: Final answer
    x = 13,012.16

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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.