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Finding the Third Proportional to 2,361 and 5,619

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Solution

The third proportional to 2,361 and 5,619 is: 13,372.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361 : 5,619 = 5,619 : x
  2. Step 2: Convert to fraction form
    2,361/5,619 = 5,619/x
  3. Step 3: Cross multiply
    2,361x = 5,619 × 5,619
  4. Step 4: Simplify right side
    2,361x = 31,573,161
  5. Step 5: Solve for x
    x = 31,573,161/2,361
  6. Step 6: Final answer
    x = 13,372.79

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.