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Finding the Third Proportional to 2,532 and 3,982

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Solution

The third proportional to 2,532 and 3,982 is: 6,262.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532 : 3,982 = 3,982 : x
  2. Step 2: Convert to fraction form
    2,532/3,982 = 3,982/x
  3. Step 3: Cross multiply
    2,532x = 3,982 × 3,982
  4. Step 4: Simplify right side
    2,532x = 15,856,324
  5. Step 5: Solve for x
    x = 15,856,324/2,532
  6. Step 6: Final answer
    x = 6,262.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.