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Finding the Third Proportional to 11,698 and 17,635

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Solution

The third proportional to 11,698 and 17,635 is: 26,585.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698 : 17,635 = 17,635 : x
  2. Step 2: Convert to fraction form
    11,698/17,635 = 17,635/x
  3. Step 3: Cross multiply
    11,698x = 17,635 × 17,635
  4. Step 4: Simplify right side
    11,698x = 310,993,225
  5. Step 5: Solve for x
    x = 310,993,225/11,698
  6. Step 6: Final answer
    x = 26,585.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.