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Finding the Third Proportional to 8,284 and 17,390

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Solution

The third proportional to 8,284 and 17,390 is: 36,505.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284 : 17,390 = 17,390 : x
  2. Step 2: Convert to fraction form
    8,284/17,390 = 17,390/x
  3. Step 3: Cross multiply
    8,284x = 17,390 × 17,390
  4. Step 4: Simplify right side
    8,284x = 302,412,100
  5. Step 5: Solve for x
    x = 302,412,100/8,284
  6. Step 6: Final answer
    x = 36,505.56

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.