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Finding the Third Proportional to 44,013 and 85,821

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Solution

The third proportional to 44,013 and 85,821 is: 167,342.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,013 : 85,821 = 85,821 : x
  2. Step 2: Convert to fraction form
    44,013/85,821 = 85,821/x
  3. Step 3: Cross multiply
    44,013x = 85,821 × 85,821
  4. Step 4: Simplify right side
    44,013x = 7,365,244,041
  5. Step 5: Solve for x
    x = 7,365,244,041/44,013
  6. Step 6: Final answer
    x = 167,342.47

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.