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Finding the Third Proportional to 21,884 and 32,934

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Solution

The third proportional to 21,884 and 32,934 is: 49,563.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,884 : 32,934 = 32,934 : x
  2. Step 2: Convert to fraction form
    21,884/32,934 = 32,934/x
  3. Step 3: Cross multiply
    21,884x = 32,934 × 32,934
  4. Step 4: Simplify right side
    21,884x = 1,084,648,356
  5. Step 5: Solve for x
    x = 1,084,648,356/21,884
  6. Step 6: Final answer
    x = 49,563.53

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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.