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Finding the Third Proportional to 20,375 and 42,613

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Solution

The third proportional to 20,375 and 42,613 is: 89,122.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,375 : 42,613 = 42,613 : x
  2. Step 2: Convert to fraction form
    20,375/42,613 = 42,613/x
  3. Step 3: Cross multiply
    20,375x = 42,613 × 42,613
  4. Step 4: Simplify right side
    20,375x = 1,815,867,769
  5. Step 5: Solve for x
    x = 1,815,867,769/20,375
  6. Step 6: Final answer
    x = 89,122.34

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.