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Finding the Third Proportional to 2,191 and 3,577

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Solution

The third proportional to 2,191 and 3,577 is: 5,839.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191 : 3,577 = 3,577 : x
  2. Step 2: Convert to fraction form
    2,191/3,577 = 3,577/x
  3. Step 3: Cross multiply
    2,191x = 3,577 × 3,577
  4. Step 4: Simplify right side
    2,191x = 12,794,929
  5. Step 5: Solve for x
    x = 12,794,929/2,191
  6. Step 6: Final answer
    x = 5,839.77

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.