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Finding the Third Proportional to 13,991.06 and 21,189.94

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Solution

The third proportional to 13,991.06 and 21,189.94 is: 32,092.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,991.06 : 21,189.94 = 21,189.94 : x
  2. Step 2: Convert to fraction form
    13,991.06/21,189.94 = 21,189.94/x
  3. Step 3: Cross multiply
    13,991.06x = 21,189.94 × 21,189.94
  4. Step 4: Simplify right side
    13,991.06x = 449,013,451.25
  5. Step 5: Solve for x
    x = 449,013,451.25/13,991.06
  6. Step 6: Final answer
    x = 32,092.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.