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Finding the Third Proportional to 11,912.06 and 25,364.81

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Solution

The third proportional to 11,912.06 and 25,364.81 is: 54,010.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,912.06 : 25,364.81 = 25,364.81 : x
  2. Step 2: Convert to fraction form
    11,912.06/25,364.81 = 25,364.81/x
  3. Step 3: Cross multiply
    11,912.06x = 25,364.81 × 25,364.81
  4. Step 4: Simplify right side
    11,912.06x = 643,373,713.16
  5. Step 5: Solve for x
    x = 643,373,713.16/11,912.06
  6. Step 6: Final answer
    x = 54,010.27

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Why These Related Problems?

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