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Finding the Third Proportional to 14,071 and 30,949

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Solution

The third proportional to 14,071 and 30,949 is: 68,071.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,071 : 30,949 = 30,949 : x
  2. Step 2: Convert to fraction form
    14,071/30,949 = 30,949/x
  3. Step 3: Cross multiply
    14,071x = 30,949 × 30,949
  4. Step 4: Simplify right side
    14,071x = 957,840,601
  5. Step 5: Solve for x
    x = 957,840,601/14,071
  6. Step 6: Final answer
    x = 68,071.96

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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.