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Finding the Third Proportional to 20,143.69 and 43,228.69

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Solution

The third proportional to 20,143.69 and 43,228.69 is: 92,769.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,143.69 : 43,228.69 = 43,228.69 : x
  2. Step 2: Convert to fraction form
    20,143.69/43,228.69 = 43,228.69/x
  3. Step 3: Cross multiply
    20,143.69x = 43,228.69 × 43,228.69
  4. Step 4: Simplify right side
    20,143.69x = 1,868,719,422.97
  5. Step 5: Solve for x
    x = 1,868,719,422.97/20,143.69
  6. Step 6: Final answer
    x = 92,769.48

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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.