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Finding the Third Proportional to 20,157 and 41,333

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Solution

The third proportional to 20,157 and 41,333 is: 84,755.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157 : 41,333 = 41,333 : x
  2. Step 2: Convert to fraction form
    20,157/41,333 = 41,333/x
  3. Step 3: Cross multiply
    20,157x = 41,333 × 41,333
  4. Step 4: Simplify right side
    20,157x = 1,708,416,889
  5. Step 5: Solve for x
    x = 1,708,416,889/20,157
  6. Step 6: Final answer
    x = 84,755.51

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.