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Finding the Third Proportional to 20,114 and 40,934

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Solution

The third proportional to 20,114 and 40,934 is: 83,304.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,114 : 40,934 = 40,934 : x
  2. Step 2: Convert to fraction form
    20,114/40,934 = 40,934/x
  3. Step 3: Cross multiply
    20,114x = 40,934 × 40,934
  4. Step 4: Simplify right side
    20,114x = 1,675,592,356
  5. Step 5: Solve for x
    x = 1,675,592,356/20,114
  6. Step 6: Final answer
    x = 83,304.78

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.