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Finding the Third Proportional to 20,077 and 43,207

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Solution

The third proportional to 20,077 and 43,207 is: 92,984.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,077 : 43,207 = 43,207 : x
  2. Step 2: Convert to fraction form
    20,077/43,207 = 43,207/x
  3. Step 3: Cross multiply
    20,077x = 43,207 × 43,207
  4. Step 4: Simplify right side
    20,077x = 1,866,844,849
  5. Step 5: Solve for x
    x = 1,866,844,849/20,077
  6. Step 6: Final answer
    x = 92,984.25

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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.