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Finding the Third Proportional to 6,452 and 13,512

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Solution

The third proportional to 6,452 and 13,512 is: 28,297.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452 : 13,512 = 13,512 : x
  2. Step 2: Convert to fraction form
    6,452/13,512 = 13,512/x
  3. Step 3: Cross multiply
    6,452x = 13,512 × 13,512
  4. Step 4: Simplify right side
    6,452x = 182,574,144
  5. Step 5: Solve for x
    x = 182,574,144/6,452
  6. Step 6: Final answer
    x = 28,297.29

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.