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Finding the Third Proportional to 29,828 and 41,805

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Solution

The third proportional to 29,828 and 41,805 is: 58,591.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,828 : 41,805 = 41,805 : x
  2. Step 2: Convert to fraction form
    29,828/41,805 = 41,805/x
  3. Step 3: Cross multiply
    29,828x = 41,805 × 41,805
  4. Step 4: Simplify right side
    29,828x = 1,747,658,025
  5. Step 5: Solve for x
    x = 1,747,658,025/29,828
  6. Step 6: Final answer
    x = 58,591.19

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.