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Finding the Third Proportional to 21,886 and 32,851

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Solution

The third proportional to 21,886 and 32,851 is: 49,309.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,886 : 32,851 = 32,851 : x
  2. Step 2: Convert to fraction form
    21,886/32,851 = 32,851/x
  3. Step 3: Cross multiply
    21,886x = 32,851 × 32,851
  4. Step 4: Simplify right side
    21,886x = 1,079,188,201
  5. Step 5: Solve for x
    x = 1,079,188,201/21,886
  6. Step 6: Final answer
    x = 49,309.52

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