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Finding the Third Proportional to 17,075 and 36,175

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Solution

The third proportional to 17,075 and 36,175 is: 76,640.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,075 : 36,175 = 36,175 : x
  2. Step 2: Convert to fraction form
    17,075/36,175 = 36,175/x
  3. Step 3: Cross multiply
    17,075x = 36,175 × 36,175
  4. Step 4: Simplify right side
    17,075x = 1,308,630,625
  5. Step 5: Solve for x
    x = 1,308,630,625/17,075
  6. Step 6: Final answer
    x = 76,640.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.