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Finding the Third Proportional to 36,687.75 and 43,329.75

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Solution

The third proportional to 36,687.75 and 43,329.75 is: 51,174.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,687.75 : 43,329.75 = 43,329.75 : x
  2. Step 2: Convert to fraction form
    36,687.75/43,329.75 = 43,329.75/x
  3. Step 3: Cross multiply
    36,687.75x = 43,329.75 × 43,329.75
  4. Step 4: Simplify right side
    36,687.75x = 1,877,467,235.06
  5. Step 5: Solve for x
    x = 1,877,467,235.06/36,687.75
  6. Step 6: Final answer
    x = 51,174.23

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.