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Finding the Third Proportional to 21,878 and 32,836

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Solution

The third proportional to 21,878 and 32,836 is: 49,282.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,878 : 32,836 = 32,836 : x
  2. Step 2: Convert to fraction form
    21,878/32,836 = 32,836/x
  3. Step 3: Cross multiply
    21,878x = 32,836 × 32,836
  4. Step 4: Simplify right side
    21,878x = 1,078,202,896
  5. Step 5: Solve for x
    x = 1,078,202,896/21,878
  6. Step 6: Final answer
    x = 49,282.52

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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.