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Finding the Third Proportional to 41,823 and 85,684

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Solution

The third proportional to 41,823 and 85,684 is: 175,543.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,823 : 85,684 = 85,684 : x
  2. Step 2: Convert to fraction form
    41,823/85,684 = 85,684/x
  3. Step 3: Cross multiply
    41,823x = 85,684 × 85,684
  4. Step 4: Simplify right side
    41,823x = 7,341,747,856
  5. Step 5: Solve for x
    x = 7,341,747,856/41,823
  6. Step 6: Final answer
    x = 175,543.31

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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.