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Finding the Third Proportional to 1,181 and 2,497

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Solution

The third proportional to 1,181 and 2,497 is: 5,279.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181 : 2,497 = 2,497 : x
  2. Step 2: Convert to fraction form
    1,181/2,497 = 2,497/x
  3. Step 3: Cross multiply
    1,181x = 2,497 × 2,497
  4. Step 4: Simplify right side
    1,181x = 6,235,009
  5. Step 5: Solve for x
    x = 6,235,009/1,181
  6. Step 6: Final answer
    x = 5,279.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.