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Finding the Third Proportional to 9,604.13 and 19,685.25

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Solution

The third proportional to 9,604.13 and 19,685.25 is: 40,348.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.13 : 19,685.25 = 19,685.25 : x
  2. Step 2: Convert to fraction form
    9,604.13/19,685.25 = 19,685.25/x
  3. Step 3: Cross multiply
    9,604.13x = 19,685.25 × 19,685.25
  4. Step 4: Simplify right side
    9,604.13x = 387,509,067.56
  5. Step 5: Solve for x
    x = 387,509,067.56/9,604.13
  6. Step 6: Final answer
    x = 40,348.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.