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Finding the Third Proportional to 5,634 and 13,374

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Solution

The third proportional to 5,634 and 13,374 is: 31,747.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634 : 13,374 = 13,374 : x
  2. Step 2: Convert to fraction form
    5,634/13,374 = 13,374/x
  3. Step 3: Cross multiply
    5,634x = 13,374 × 13,374
  4. Step 4: Simplify right side
    5,634x = 178,863,876
  5. Step 5: Solve for x
    x = 178,863,876/5,634
  6. Step 6: Final answer
    x = 31,747.23

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.