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Finding the Third Proportional to 8,191 and 17,773

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Solution

The third proportional to 8,191 and 17,773 is: 38,564.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191 : 17,773 = 17,773 : x
  2. Step 2: Convert to fraction form
    8,191/17,773 = 17,773/x
  3. Step 3: Cross multiply
    8,191x = 17,773 × 17,773
  4. Step 4: Simplify right side
    8,191x = 315,879,529
  5. Step 5: Solve for x
    x = 315,879,529/8,191
  6. Step 6: Final answer
    x = 38,564.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.