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Finding the Third Proportional to 14,021 and 30,767

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Solution

The third proportional to 14,021 and 30,767 is: 67,513.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,021 : 30,767 = 30,767 : x
  2. Step 2: Convert to fraction form
    14,021/30,767 = 30,767/x
  3. Step 3: Cross multiply
    14,021x = 30,767 × 30,767
  4. Step 4: Simplify right side
    14,021x = 946,608,289
  5. Step 5: Solve for x
    x = 946,608,289/14,021
  6. Step 6: Final answer
    x = 67,513.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.