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Finding the Third Proportional to 23,863.22 and 51,414.19

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Solution

The third proportional to 23,863.22 and 51,414.19 is: 110,773.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,863.22 : 51,414.19 = 51,414.19 : x
  2. Step 2: Convert to fraction form
    23,863.22/51,414.19 = 51,414.19/x
  3. Step 3: Cross multiply
    23,863.22x = 51,414.19 × 51,414.19
  4. Step 4: Simplify right side
    23,863.22x = 2,643,418,676.29
  5. Step 5: Solve for x
    x = 2,643,418,676.29/23,863.22
  6. Step 6: Final answer
    x = 110,773.77

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.