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Finding the Third Proportional to 34,013 and 52,869

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Solution

The third proportional to 34,013 and 52,869 is: 82,178.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,013 : 52,869 = 52,869 : x
  2. Step 2: Convert to fraction form
    34,013/52,869 = 52,869/x
  3. Step 3: Cross multiply
    34,013x = 52,869 × 52,869
  4. Step 4: Simplify right side
    34,013x = 2,795,131,161
  5. Step 5: Solve for x
    x = 2,795,131,161/34,013
  6. Step 6: Final answer
    x = 82,178.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.