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Finding the Third Proportional to 29,640.94 and 43,351.03

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Solution

The third proportional to 29,640.94 and 43,351.03 is: 63,402.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,640.94 : 43,351.03 = 43,351.03 : x
  2. Step 2: Convert to fraction form
    29,640.94/43,351.03 = 43,351.03/x
  3. Step 3: Cross multiply
    29,640.94x = 43,351.03 × 43,351.03
  4. Step 4: Simplify right side
    29,640.94x = 1,879,311,910.44
  5. Step 5: Solve for x
    x = 1,879,311,910.44/29,640.94
  6. Step 6: Final answer
    x = 63,402.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.