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Finding the Third Proportional to 11,284.31 and 24,132.94

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Solution

The third proportional to 11,284.31 and 24,132.94 is: 51,611.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,284.31 : 24,132.94 = 24,132.94 : x
  2. Step 2: Convert to fraction form
    11,284.31/24,132.94 = 24,132.94/x
  3. Step 3: Cross multiply
    11,284.31x = 24,132.94 × 24,132.94
  4. Step 4: Simplify right side
    11,284.31x = 582,398,672.38
  5. Step 5: Solve for x
    x = 582,398,672.38/11,284.31
  6. Step 6: Final answer
    x = 51,611.36

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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.