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Finding the Third Proportional to 29,834 and 41,821

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Solution

The third proportional to 29,834 and 41,821 is: 58,624.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,834 : 41,821 = 41,821 : x
  2. Step 2: Convert to fraction form
    29,834/41,821 = 41,821/x
  3. Step 3: Cross multiply
    29,834x = 41,821 × 41,821
  4. Step 4: Simplify right side
    29,834x = 1,748,996,041
  5. Step 5: Solve for x
    x = 1,748,996,041/29,834
  6. Step 6: Final answer
    x = 58,624.26

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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.