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Finding the Third Proportional to 23,812 and 57,610

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Solution

The third proportional to 23,812 and 57,610 is: 139,379.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,812 : 57,610 = 57,610 : x
  2. Step 2: Convert to fraction form
    23,812/57,610 = 57,610/x
  3. Step 3: Cross multiply
    23,812x = 57,610 × 57,610
  4. Step 4: Simplify right side
    23,812x = 3,318,912,100
  5. Step 5: Solve for x
    x = 3,318,912,100/23,812
  6. Step 6: Final answer
    x = 139,379.81

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.