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Finding the Third Proportional to 23,771 and 51,304

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Solution

The third proportional to 23,771 and 51,304 is: 110,727.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,771 : 51,304 = 51,304 : x
  2. Step 2: Convert to fraction form
    23,771/51,304 = 51,304/x
  3. Step 3: Cross multiply
    23,771x = 51,304 × 51,304
  4. Step 4: Simplify right side
    23,771x = 2,632,100,416
  5. Step 5: Solve for x
    x = 2,632,100,416/23,771
  6. Step 6: Final answer
    x = 110,727.37

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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.