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Finding the Third Proportional to 538 and 1,175

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Solution

The third proportional to 538 and 1,175 is: 2,566.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    538 : 1,175 = 1,175 : x
  2. Step 2: Convert to fraction form
    538/1,175 = 1,175/x
  3. Step 3: Cross multiply
    538x = 1,175 × 1,175
  4. Step 4: Simplify right side
    538x = 1,380,625
  5. Step 5: Solve for x
    x = 1,380,625/538
  6. Step 6: Final answer
    x = 2,566.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.