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Finding the Third Proportional to 41,684 and 84,910

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Solution

The third proportional to 41,684 and 84,910 is: 172,961.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,684 : 84,910 = 84,910 : x
  2. Step 2: Convert to fraction form
    41,684/84,910 = 84,910/x
  3. Step 3: Cross multiply
    41,684x = 84,910 × 84,910
  4. Step 4: Simplify right side
    41,684x = 7,209,708,100
  5. Step 5: Solve for x
    x = 7,209,708,100/41,684
  6. Step 6: Final answer
    x = 172,961.04

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.