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Finding the Third Proportional to 1,181 and 2,577

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Solution

The third proportional to 1,181 and 2,577 is: 5,623.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181 : 2,577 = 2,577 : x
  2. Step 2: Convert to fraction form
    1,181/2,577 = 2,577/x
  3. Step 3: Cross multiply
    1,181x = 2,577 × 2,577
  4. Step 4: Simplify right side
    1,181x = 6,640,929
  5. Step 5: Solve for x
    x = 6,640,929/1,181
  6. Step 6: Final answer
    x = 5,623.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.