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Finding the Third Proportional to 11,517.19 and 23,474.81

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Solution

The third proportional to 11,517.19 and 23,474.81 is: 47,847.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517.19 : 23,474.81 = 23,474.81 : x
  2. Step 2: Convert to fraction form
    11,517.19/23,474.81 = 23,474.81/x
  3. Step 3: Cross multiply
    11,517.19x = 23,474.81 × 23,474.81
  4. Step 4: Simplify right side
    11,517.19x = 551,066,821.91
  5. Step 5: Solve for x
    x = 551,066,821.91/11,517.19
  6. Step 6: Final answer
    x = 47,847.34

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.