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Finding the Third Proportional to 23,760.84 and 34,912.27

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Solution

The third proportional to 23,760.84 and 34,912.27 is: 51,297.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,760.84 : 34,912.27 = 34,912.27 : x
  2. Step 2: Convert to fraction form
    23,760.84/34,912.27 = 34,912.27/x
  3. Step 3: Cross multiply
    23,760.84x = 34,912.27 × 34,912.27
  4. Step 4: Simplify right side
    23,760.84x = 1,218,866,291.07
  5. Step 5: Solve for x
    x = 1,218,866,291.07/23,760.84
  6. Step 6: Final answer
    x = 51,297.26

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.