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Finding the Third Proportional to 20,165 and 45,997

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Solution

The third proportional to 20,165 and 45,997 is: 104,920.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165 : 45,997 = 45,997 : x
  2. Step 2: Convert to fraction form
    20,165/45,997 = 45,997/x
  3. Step 3: Cross multiply
    20,165x = 45,997 × 45,997
  4. Step 4: Simplify right side
    20,165x = 2,115,724,009
  5. Step 5: Solve for x
    x = 2,115,724,009/20,165
  6. Step 6: Final answer
    x = 104,920.61

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.