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Finding the Third Proportional to 32,999.25 and 43,757.25

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Solution

The third proportional to 32,999.25 and 43,757.25 is: 58,022.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,999.25 : 43,757.25 = 43,757.25 : x
  2. Step 2: Convert to fraction form
    32,999.25/43,757.25 = 43,757.25/x
  3. Step 3: Cross multiply
    32,999.25x = 43,757.25 × 43,757.25
  4. Step 4: Simplify right side
    32,999.25x = 1,914,696,927.56
  5. Step 5: Solve for x
    x = 1,914,696,927.56/32,999.25
  6. Step 6: Final answer
    x = 58,022.44

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.