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Finding the Third Proportional to 11,940.96 and 25,304.27

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Solution

The third proportional to 11,940.96 and 25,304.27 is: 53,622.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,940.96 : 25,304.27 = 25,304.27 : x
  2. Step 2: Convert to fraction form
    11,940.96/25,304.27 = 25,304.27/x
  3. Step 3: Cross multiply
    11,940.96x = 25,304.27 × 25,304.27
  4. Step 4: Simplify right side
    11,940.96x = 640,306,254.20
  5. Step 5: Solve for x
    x = 640,306,254.20/11,940.96
  6. Step 6: Final answer
    x = 53,622.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.