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Finding the Third Proportional to 24,759 and 33,640.31

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Solution

The third proportional to 24,759 and 33,640.31 is: 45,707.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,759 : 33,640.31 = 33,640.31 : x
  2. Step 2: Convert to fraction form
    24,759/33,640.31 = 33,640.31/x
  3. Step 3: Cross multiply
    24,759x = 33,640.31 × 33,640.31
  4. Step 4: Simplify right side
    24,759x = 1,131,670,625.10
  5. Step 5: Solve for x
    x = 1,131,670,625.10/24,759
  6. Step 6: Final answer
    x = 45,707.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.