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Finding the Third Proportional to 2,241 and 3,481

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Solution

The third proportional to 2,241 and 3,481 is: 5,407.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241 : 3,481 = 3,481 : x
  2. Step 2: Convert to fraction form
    2,241/3,481 = 3,481/x
  3. Step 3: Cross multiply
    2,241x = 3,481 × 3,481
  4. Step 4: Simplify right side
    2,241x = 12,117,361
  5. Step 5: Solve for x
    x = 12,117,361/2,241
  6. Step 6: Final answer
    x = 5,407.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.