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Finding the Third Proportional to 9,741 and 22,809

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Solution

The third proportional to 9,741 and 22,809 is: 53,408.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741 : 22,809 = 22,809 : x
  2. Step 2: Convert to fraction form
    9,741/22,809 = 22,809/x
  3. Step 3: Cross multiply
    9,741x = 22,809 × 22,809
  4. Step 4: Simplify right side
    9,741x = 520,250,481
  5. Step 5: Solve for x
    x = 520,250,481/9,741
  6. Step 6: Final answer
    x = 53,408.32

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.