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Finding the Third Proportional to 20,141 and 43,199

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Solution

The third proportional to 20,141 and 43,199 is: 92,654.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,141 : 43,199 = 43,199 : x
  2. Step 2: Convert to fraction form
    20,141/43,199 = 43,199/x
  3. Step 3: Cross multiply
    20,141x = 43,199 × 43,199
  4. Step 4: Simplify right side
    20,141x = 1,866,153,601
  5. Step 5: Solve for x
    x = 1,866,153,601/20,141
  6. Step 6: Final answer
    x = 92,654.47

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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.