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Finding the Third Proportional to 14,077 and 30,943

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Solution

The third proportional to 14,077 and 30,943 is: 68,016.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,077 : 30,943 = 30,943 : x
  2. Step 2: Convert to fraction form
    14,077/30,943 = 30,943/x
  3. Step 3: Cross multiply
    14,077x = 30,943 × 30,943
  4. Step 4: Simplify right side
    14,077x = 957,469,249
  5. Step 5: Solve for x
    x = 957,469,249/14,077
  6. Step 6: Final answer
    x = 68,016.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.