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Finding the Third Proportional to 29,786.06 and 41,976.75

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Solution

The third proportional to 29,786.06 and 41,976.75 is: 59,156.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,786.06 : 41,976.75 = 41,976.75 : x
  2. Step 2: Convert to fraction form
    29,786.06/41,976.75 = 41,976.75/x
  3. Step 3: Cross multiply
    29,786.06x = 41,976.75 × 41,976.75
  4. Step 4: Simplify right side
    29,786.06x = 1,762,047,540.56
  5. Step 5: Solve for x
    x = 1,762,047,540.56/29,786.06
  6. Step 6: Final answer
    x = 59,156.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.