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Finding the Third Proportional to 23,076.38 and 34,576.13

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Solution

The third proportional to 23,076.38 and 34,576.13 is: 51,806.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,076.38 : 34,576.13 = 34,576.13 : x
  2. Step 2: Convert to fraction form
    23,076.38/34,576.13 = 34,576.13/x
  3. Step 3: Cross multiply
    23,076.38x = 34,576.13 × 34,576.13
  4. Step 4: Simplify right side
    23,076.38x = 1,195,508,420.02
  5. Step 5: Solve for x
    x = 1,195,508,420.02/23,076.38
  6. Step 6: Final answer
    x = 51,806.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.