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Finding the Third Proportional to 44,684 and 95,850

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Solution

The third proportional to 44,684 and 95,850 is: 205,604.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,684 : 95,850 = 95,850 : x
  2. Step 2: Convert to fraction form
    44,684/95,850 = 95,850/x
  3. Step 3: Cross multiply
    44,684x = 95,850 × 95,850
  4. Step 4: Simplify right side
    44,684x = 9,187,222,500
  5. Step 5: Solve for x
    x = 9,187,222,500/44,684
  6. Step 6: Final answer
    x = 205,604.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.