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Finding the Third Proportional to 2,431.69 and 4,195.97

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Solution

The third proportional to 2,431.69 and 4,195.97 is: 7,240.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.69 : 4,195.97 = 4,195.97 : x
  2. Step 2: Convert to fraction form
    2,431.69/4,195.97 = 4,195.97/x
  3. Step 3: Cross multiply
    2,431.69x = 4,195.97 × 4,195.97
  4. Step 4: Simplify right side
    2,431.69x = 17,606,153.75
  5. Step 5: Solve for x
    x = 17,606,153.75/2,431.69
  6. Step 6: Final answer
    x = 7,240.30

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.