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Finding the Third Proportional to 29,198 and 43,833

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Solution

The third proportional to 29,198 and 43,833 is: 65,803.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,198 : 43,833 = 43,833 : x
  2. Step 2: Convert to fraction form
    29,198/43,833 = 43,833/x
  3. Step 3: Cross multiply
    29,198x = 43,833 × 43,833
  4. Step 4: Simplify right side
    29,198x = 1,921,331,889
  5. Step 5: Solve for x
    x = 1,921,331,889/29,198
  6. Step 6: Final answer
    x = 65,803.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.