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Finding the Third Proportional to 17,431.31 and 35,894.06

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Solution

The third proportional to 17,431.31 and 35,894.06 is: 73,912.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,431.31 : 35,894.06 = 35,894.06 : x
  2. Step 2: Convert to fraction form
    17,431.31/35,894.06 = 35,894.06/x
  3. Step 3: Cross multiply
    17,431.31x = 35,894.06 × 35,894.06
  4. Step 4: Simplify right side
    17,431.31x = 1,288,383,722.75
  5. Step 5: Solve for x
    x = 1,288,383,722.75/17,431.31
  6. Step 6: Final answer
    x = 73,912.03

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.