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Finding the Third Proportional to 11,973 and 25,809

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Solution

The third proportional to 11,973 and 25,809 is: 55,633.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,973 : 25,809 = 25,809 : x
  2. Step 2: Convert to fraction form
    11,973/25,809 = 25,809/x
  3. Step 3: Cross multiply
    11,973x = 25,809 × 25,809
  4. Step 4: Simplify right side
    11,973x = 666,104,481
  5. Step 5: Solve for x
    x = 666,104,481/11,973
  6. Step 6: Final answer
    x = 55,633.88

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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.