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Finding the Third Proportional to 21,751 and 32,675

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Solution

The third proportional to 21,751 and 32,675 is: 49,085.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,751 : 32,675 = 32,675 : x
  2. Step 2: Convert to fraction form
    21,751/32,675 = 32,675/x
  3. Step 3: Cross multiply
    21,751x = 32,675 × 32,675
  4. Step 4: Simplify right side
    21,751x = 1,067,655,625
  5. Step 5: Solve for x
    x = 1,067,655,625/21,751
  6. Step 6: Final answer
    x = 49,085.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.