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Finding the Third Proportional to 41,027 and 96,795

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Solution

The third proportional to 41,027 and 96,795 is: 228,368.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,027 : 96,795 = 96,795 : x
  2. Step 2: Convert to fraction form
    41,027/96,795 = 96,795/x
  3. Step 3: Cross multiply
    41,027x = 96,795 × 96,795
  4. Step 4: Simplify right side
    41,027x = 9,369,272,025
  5. Step 5: Solve for x
    x = 9,369,272,025/41,027
  6. Step 6: Final answer
    x = 228,368.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.