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Finding the Third Proportional to 9,608.63 and 18,204.75

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Solution

The third proportional to 9,608.63 and 18,204.75 is: 34,491.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.63 : 18,204.75 = 18,204.75 : x
  2. Step 2: Convert to fraction form
    9,608.63/18,204.75 = 18,204.75/x
  3. Step 3: Cross multiply
    9,608.63x = 18,204.75 × 18,204.75
  4. Step 4: Simplify right side
    9,608.63x = 331,412,922.56
  5. Step 5: Solve for x
    x = 331,412,922.56/9,608.63
  6. Step 6: Final answer
    x = 34,491.19

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.