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Finding the Third Proportional to 11,180.25 and 17,381.25

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Solution

The third proportional to 11,180.25 and 17,381.25 is: 27,021.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,180.25 : 17,381.25 = 17,381.25 : x
  2. Step 2: Convert to fraction form
    11,180.25/17,381.25 = 17,381.25/x
  3. Step 3: Cross multiply
    11,180.25x = 17,381.25 × 17,381.25
  4. Step 4: Simplify right side
    11,180.25x = 302,107,851.56
  5. Step 5: Solve for x
    x = 302,107,851.56/11,180.25
  6. Step 6: Final answer
    x = 27,021.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.