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Finding the Third Proportional to 13,781.44 and 21,850.78

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Solution

The third proportional to 13,781.44 and 21,850.78 is: 34,644.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,781.44 : 21,850.78 = 21,850.78 : x
  2. Step 2: Convert to fraction form
    13,781.44/21,850.78 = 21,850.78/x
  3. Step 3: Cross multiply
    13,781.44x = 21,850.78 × 21,850.78
  4. Step 4: Simplify right side
    13,781.44x = 477,456,641.24
  5. Step 5: Solve for x
    x = 477,456,641.24/13,781.44
  6. Step 6: Final answer
    x = 34,644.91

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.