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Finding the Third Proportional to 22,153.50 and 43,212.38

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Solution

The third proportional to 22,153.50 and 43,212.38 is: 84,289.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,153.50 : 43,212.38 = 43,212.38 : x
  2. Step 2: Convert to fraction form
    22,153.50/43,212.38 = 43,212.38/x
  3. Step 3: Cross multiply
    22,153.50x = 43,212.38 × 43,212.38
  4. Step 4: Simplify right side
    22,153.50x = 1,867,309,353.14
  5. Step 5: Solve for x
    x = 1,867,309,353.14/22,153.50
  6. Step 6: Final answer
    x = 84,289.59

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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.