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Finding the Third Proportional to 11,446.31 and 24,143.06

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Solution

The third proportional to 11,446.31 and 24,143.06 is: 50,923.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.31 : 24,143.06 = 24,143.06 : x
  2. Step 2: Convert to fraction form
    11,446.31/24,143.06 = 24,143.06/x
  3. Step 3: Cross multiply
    11,446.31x = 24,143.06 × 24,143.06
  4. Step 4: Simplify right side
    11,446.31x = 582,887,466.88
  5. Step 5: Solve for x
    x = 582,887,466.88/11,446.31
  6. Step 6: Final answer
    x = 50,923.60

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.