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Finding the Third Proportional to 23,912.72 and 51,971.63

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Solution

The third proportional to 23,912.72 and 51,971.63 is: 112,954.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,912.72 : 51,971.63 = 51,971.63 : x
  2. Step 2: Convert to fraction form
    23,912.72/51,971.63 = 51,971.63/x
  3. Step 3: Cross multiply
    23,912.72x = 51,971.63 × 51,971.63
  4. Step 4: Simplify right side
    23,912.72x = 2,701,049,805.14
  5. Step 5: Solve for x
    x = 2,701,049,805.14/23,912.72
  6. Step 6: Final answer
    x = 112,954.53

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.