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Finding the Third Proportional to 3,537 and 5,175

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Solution

The third proportional to 3,537 and 5,175 is: 7,571.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537 : 5,175 = 5,175 : x
  2. Step 2: Convert to fraction form
    3,537/5,175 = 5,175/x
  3. Step 3: Cross multiply
    3,537x = 5,175 × 5,175
  4. Step 4: Simplify right side
    3,537x = 26,780,625
  5. Step 5: Solve for x
    x = 26,780,625/3,537
  6. Step 6: Final answer
    x = 7,571.56

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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.