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Finding the Third Proportional to 20,188 and 43,252

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Solution

The third proportional to 20,188 and 43,252 is: 92,665.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,188 : 43,252 = 43,252 : x
  2. Step 2: Convert to fraction form
    20,188/43,252 = 43,252/x
  3. Step 3: Cross multiply
    20,188x = 43,252 × 43,252
  4. Step 4: Simplify right side
    20,188x = 1,870,735,504
  5. Step 5: Solve for x
    x = 1,870,735,504/20,188
  6. Step 6: Final answer
    x = 92,665.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.