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Finding the Third Proportional to 17,421.75 and 41,175

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Solution

The third proportional to 17,421.75 and 41,175 is: 97,314.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,421.75 : 41,175 = 41,175 : x
  2. Step 2: Convert to fraction form
    17,421.75/41,175 = 41,175/x
  3. Step 3: Cross multiply
    17,421.75x = 41,175 × 41,175
  4. Step 4: Simplify right side
    17,421.75x = 1,695,380,625
  5. Step 5: Solve for x
    x = 1,695,380,625/17,421.75
  6. Step 6: Final answer
    x = 97,314.03

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.