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Finding the Third Proportional to 11,421 and 17,192.25

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Solution

The third proportional to 11,421 and 17,192.25 is: 25,879.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,421 : 17,192.25 = 17,192.25 : x
  2. Step 2: Convert to fraction form
    11,421/17,192.25 = 17,192.25/x
  3. Step 3: Cross multiply
    11,421x = 17,192.25 × 17,192.25
  4. Step 4: Simplify right side
    11,421x = 295,573,460.06
  5. Step 5: Solve for x
    x = 295,573,460.06/11,421
  6. Step 6: Final answer
    x = 25,879.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.