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Finding the Third Proportional to 6,601 and 9,181.75

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Solution

The third proportional to 6,601 and 9,181.75 is: 12,771.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,601 : 9,181.75 = 9,181.75 : x
  2. Step 2: Convert to fraction form
    6,601/9,181.75 = 9,181.75/x
  3. Step 3: Cross multiply
    6,601x = 9,181.75 × 9,181.75
  4. Step 4: Simplify right side
    6,601x = 84,304,533.06
  5. Step 5: Solve for x
    x = 84,304,533.06/6,601
  6. Step 6: Final answer
    x = 12,771.48

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.