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Finding the Third Proportional to 21,162 and 43,604

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Solution

The third proportional to 21,162 and 43,604 is: 89,845.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,162 : 43,604 = 43,604 : x
  2. Step 2: Convert to fraction form
    21,162/43,604 = 43,604/x
  3. Step 3: Cross multiply
    21,162x = 43,604 × 43,604
  4. Step 4: Simplify right side
    21,162x = 1,901,308,816
  5. Step 5: Solve for x
    x = 1,901,308,816/21,162
  6. Step 6: Final answer
    x = 89,845.42

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.