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Finding the Third Proportional to 17,631 and 25,771.08

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Solution

The third proportional to 17,631 and 25,771.08 is: 37,669.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,631 : 25,771.08 = 25,771.08 : x
  2. Step 2: Convert to fraction form
    17,631/25,771.08 = 25,771.08/x
  3. Step 3: Cross multiply
    17,631x = 25,771.08 × 25,771.08
  4. Step 4: Simplify right side
    17,631x = 664,148,467.72
  5. Step 5: Solve for x
    x = 664,148,467.72/17,631
  6. Step 6: Final answer
    x = 37,669.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.