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Finding the Third Proportional to 23,744 and 51,295

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Solution

The third proportional to 23,744 and 51,295 is: 110,814.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,744 : 51,295 = 51,295 : x
  2. Step 2: Convert to fraction form
    23,744/51,295 = 51,295/x
  3. Step 3: Cross multiply
    23,744x = 51,295 × 51,295
  4. Step 4: Simplify right side
    23,744x = 2,631,177,025
  5. Step 5: Solve for x
    x = 2,631,177,025/23,744
  6. Step 6: Final answer
    x = 110,814.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.