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Finding the Third Proportional to 43,932 and 95,812

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Solution

The third proportional to 43,932 and 95,812 is: 208,957.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,932 : 95,812 = 95,812 : x
  2. Step 2: Convert to fraction form
    43,932/95,812 = 95,812/x
  3. Step 3: Cross multiply
    43,932x = 95,812 × 95,812
  4. Step 4: Simplify right side
    43,932x = 9,179,939,344
  5. Step 5: Solve for x
    x = 9,179,939,344/43,932
  6. Step 6: Final answer
    x = 208,957.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.