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Finding the Third Proportional to 14,357 and 30,874

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Solution

The third proportional to 14,357 and 30,874 is: 66,392.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,357 : 30,874 = 30,874 : x
  2. Step 2: Convert to fraction form
    14,357/30,874 = 30,874/x
  3. Step 3: Cross multiply
    14,357x = 30,874 × 30,874
  4. Step 4: Simplify right side
    14,357x = 953,203,876
  5. Step 5: Solve for x
    x = 953,203,876/14,357
  6. Step 6: Final answer
    x = 66,392.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.