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Finding the Third Proportional to 20,104.31 and 29,571.47

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Solution

The third proportional to 20,104.31 and 29,571.47 is: 43,496.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,104.31 : 29,571.47 = 29,571.47 : x
  2. Step 2: Convert to fraction form
    20,104.31/29,571.47 = 29,571.47/x
  3. Step 3: Cross multiply
    20,104.31x = 29,571.47 × 29,571.47
  4. Step 4: Simplify right side
    20,104.31x = 874,471,764.03
  5. Step 5: Solve for x
    x = 874,471,764.03/20,104.31
  6. Step 6: Final answer
    x = 43,496.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.