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Finding the Third Proportional to 23,133.38 and 34,635.38

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Solution

The third proportional to 23,133.38 and 34,635.38 is: 51,856.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,133.38 : 34,635.38 = 34,635.38 : x
  2. Step 2: Convert to fraction form
    23,133.38/34,635.38 = 34,635.38/x
  3. Step 3: Cross multiply
    23,133.38x = 34,635.38 × 34,635.38
  4. Step 4: Simplify right side
    23,133.38x = 1,199,609,201.39
  5. Step 5: Solve for x
    x = 1,199,609,201.39/23,133.38
  6. Step 6: Final answer
    x = 51,856.21

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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.