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Finding the Third Proportional to 19,724.63 and 27,744.19

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Solution

The third proportional to 19,724.63 and 27,744.19 is: 39,024.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,724.63 : 27,744.19 = 27,744.19 : x
  2. Step 2: Convert to fraction form
    19,724.63/27,744.19 = 27,744.19/x
  3. Step 3: Cross multiply
    19,724.63x = 27,744.19 × 27,744.19
  4. Step 4: Simplify right side
    19,724.63x = 769,739,940.04
  5. Step 5: Solve for x
    x = 769,739,940.04/19,724.63
  6. Step 6: Final answer
    x = 39,024.31

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.