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Finding the Third Proportional to 11,720 and 25,744

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Solution

The third proportional to 11,720 and 25,744 is: 56,548.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,720 : 25,744 = 25,744 : x
  2. Step 2: Convert to fraction form
    11,720/25,744 = 25,744/x
  3. Step 3: Cross multiply
    11,720x = 25,744 × 25,744
  4. Step 4: Simplify right side
    11,720x = 662,753,536
  5. Step 5: Solve for x
    x = 662,753,536/11,720
  6. Step 6: Final answer
    x = 56,548.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.