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Finding the Third Proportional to 17,721 and 23,645.25

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Solution

The third proportional to 17,721 and 23,645.25 is: 31,550.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,721 : 23,645.25 = 23,645.25 : x
  2. Step 2: Convert to fraction form
    17,721/23,645.25 = 23,645.25/x
  3. Step 3: Cross multiply
    17,721x = 23,645.25 × 23,645.25
  4. Step 4: Simplify right side
    17,721x = 559,097,847.56
  5. Step 5: Solve for x
    x = 559,097,847.56/17,721
  6. Step 6: Final answer
    x = 31,550.02

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.