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Finding the Third Proportional to 29,043 and 43,449

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Solution

The third proportional to 29,043 and 43,449 is: 65,000.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,043 : 43,449 = 43,449 : x
  2. Step 2: Convert to fraction form
    29,043/43,449 = 43,449/x
  3. Step 3: Cross multiply
    29,043x = 43,449 × 43,449
  4. Step 4: Simplify right side
    29,043x = 1,887,815,601
  5. Step 5: Solve for x
    x = 1,887,815,601/29,043
  6. Step 6: Final answer
    x = 65,000.71

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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.