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Finding the Third Proportional to 11,912.91 and 25,466.06

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Solution

The third proportional to 11,912.91 and 25,466.06 is: 54,438.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,912.91 : 25,466.06 = 25,466.06 : x
  2. Step 2: Convert to fraction form
    11,912.91/25,466.06 = 25,466.06/x
  3. Step 3: Cross multiply
    11,912.91x = 25,466.06 × 25,466.06
  4. Step 4: Simplify right side
    11,912.91x = 648,520,339.25
  5. Step 5: Solve for x
    x = 648,520,339.25/11,912.91
  6. Step 6: Final answer
    x = 54,438.47

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.