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Finding the Third Proportional to 29,079 and 43,608.38

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Solution

The third proportional to 29,079 and 43,608.38 is: 65,397.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,079 : 43,608.38 = 43,608.38 : x
  2. Step 2: Convert to fraction form
    29,079/43,608.38 = 43,608.38/x
  3. Step 3: Cross multiply
    29,079x = 43,608.38 × 43,608.38
  4. Step 4: Simplify right side
    29,079x = 1,901,690,370.14
  5. Step 5: Solve for x
    x = 1,901,690,370.14/29,079
  6. Step 6: Final answer
    x = 65,397.38

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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.