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Finding the Third Proportional to 23,144 and 34,660

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Solution

The third proportional to 23,144 and 34,660 is: 51,906.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,144 : 34,660 = 34,660 : x
  2. Step 2: Convert to fraction form
    23,144/34,660 = 34,660/x
  3. Step 3: Cross multiply
    23,144x = 34,660 × 34,660
  4. Step 4: Simplify right side
    23,144x = 1,201,315,600
  5. Step 5: Solve for x
    x = 1,201,315,600/23,144
  6. Step 6: Final answer
    x = 51,906.14

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Why These Related Problems?

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