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Finding the Third Proportional to 20,867 and 44,770

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Solution

The third proportional to 20,867 and 44,770 is: 96,053.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,867 : 44,770 = 44,770 : x
  2. Step 2: Convert to fraction form
    20,867/44,770 = 44,770/x
  3. Step 3: Cross multiply
    20,867x = 44,770 × 44,770
  4. Step 4: Simplify right side
    20,867x = 2,004,352,900
  5. Step 5: Solve for x
    x = 2,004,352,900/20,867
  6. Step 6: Final answer
    x = 96,053.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.