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Finding the Third Proportional to 43,813 and 95,007.25

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Solution

The third proportional to 43,813 and 95,007.25 is: 206,020.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,813 : 95,007.25 = 95,007.25 : x
  2. Step 2: Convert to fraction form
    43,813/95,007.25 = 95,007.25/x
  3. Step 3: Cross multiply
    43,813x = 95,007.25 × 95,007.25
  4. Step 4: Simplify right side
    43,813x = 9,026,377,552.56
  5. Step 5: Solve for x
    x = 9,026,377,552.56/43,813
  6. Step 6: Final answer
    x = 206,020.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.