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Finding the Third Proportional to 13,724.44 and 16,696.13

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Solution

The third proportional to 13,724.44 and 16,696.13 is: 20,311.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,724.44 : 16,696.13 = 16,696.13 : x
  2. Step 2: Convert to fraction form
    13,724.44/16,696.13 = 16,696.13/x
  3. Step 3: Cross multiply
    13,724.44x = 16,696.13 × 16,696.13
  4. Step 4: Simplify right side
    13,724.44x = 278,760,590.02
  5. Step 5: Solve for x
    x = 278,760,590.02/13,724.44
  6. Step 6: Final answer
    x = 20,311.26

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These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.