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Finding the Third Proportional to 18,191 and 27,557

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Solution

The third proportional to 18,191 and 27,557 is: 41,745.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,191 : 27,557 = 27,557 : x
  2. Step 2: Convert to fraction form
    18,191/27,557 = 27,557/x
  3. Step 3: Cross multiply
    18,191x = 27,557 × 27,557
  4. Step 4: Simplify right side
    18,191x = 759,388,249
  5. Step 5: Solve for x
    x = 759,388,249/18,191
  6. Step 6: Final answer
    x = 41,745.27

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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.