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Finding the Third Proportional to 14,203 and 30,867

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Solution

The third proportional to 14,203 and 30,867 is: 67,082.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,203 : 30,867 = 30,867 : x
  2. Step 2: Convert to fraction form
    14,203/30,867 = 30,867/x
  3. Step 3: Cross multiply
    14,203x = 30,867 × 30,867
  4. Step 4: Simplify right side
    14,203x = 952,771,689
  5. Step 5: Solve for x
    x = 952,771,689/14,203
  6. Step 6: Final answer
    x = 67,082.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.