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Finding the Third Proportional to 13,114.41 and 27,990.56

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Solution

The third proportional to 13,114.41 and 27,990.56 is: 59,741.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.41 : 27,990.56 = 27,990.56 : x
  2. Step 2: Convert to fraction form
    13,114.41/27,990.56 = 27,990.56/x
  3. Step 3: Cross multiply
    13,114.41x = 27,990.56 × 27,990.56
  4. Step 4: Simplify right side
    13,114.41x = 783,471,589.07
  5. Step 5: Solve for x
    x = 783,471,589.07/13,114.41
  6. Step 6: Final answer
    x = 59,741.29

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.