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Finding the Third Proportional to 41,021 and 96,584

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Solution

The third proportional to 41,021 and 96,584 is: 227,407.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,021 : 96,584 = 96,584 : x
  2. Step 2: Convert to fraction form
    41,021/96,584 = 96,584/x
  3. Step 3: Cross multiply
    41,021x = 96,584 × 96,584
  4. Step 4: Simplify right side
    41,021x = 9,328,469,056
  5. Step 5: Solve for x
    x = 9,328,469,056/41,021
  6. Step 6: Final answer
    x = 227,407.16

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.