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Finding the Third Proportional to 10,809 and 17,328

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Solution

The third proportional to 10,809 and 17,328 is: 27,778.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809 : 17,328 = 17,328 : x
  2. Step 2: Convert to fraction form
    10,809/17,328 = 17,328/x
  3. Step 3: Cross multiply
    10,809x = 17,328 × 17,328
  4. Step 4: Simplify right side
    10,809x = 300,259,584
  5. Step 5: Solve for x
    x = 300,259,584/10,809
  6. Step 6: Final answer
    x = 27,778.66

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.